Wintersemester 2025/2026

This two week intensive course is intended for students interested in learning the principles and methods of probability and statistics needed for analyzing, modelling and interpreting data. Basic (high-school) familiarity with statistical concepts is assumed. The topic  <mehr>

This two week intensive course is intended for students interested in learning the principles and methods of probability and statistics needed for analyzing, modelling and interpreting data. Basic (high-school) familiarity with statistical concepts is assumed. The topics covered include probability distributions, Bayesian reasoning, hypothesis testing, maximum likelihood, linear regression, monte carlo methods, etc. Mathematical proofs and derivations will be kept to a minimum (although matrix operations are very important) and greater emphasis will be placed on how to practically apply statistical tools to help you interpret real data. The course will be taught in the R programming environment (no prior knowledge of R is assumed). The course is recommended for students that have already completed the first two semesters. (If you are having trouble registering for this course on heiCo, email the lecturer directly with yout name and matriculation number to be added manually.)

Mechanik (50 %) • Mechanik des Massenpunktes • Mechanik des starren Körpers • Mechanik deformierbarer Körper Thermodynamik (40 %) • Phänomenologie der Wärmelehre • Zustandsänderungen • Kinetische Gastheorie • Reale Gase und Phasenübergänge Transport  <mehr>

Mechanik (50 %) • Mechanik des Massenpunktes • Mechanik des starren Körpers • Mechanik deformierbarer Körper Thermodynamik (40 %) • Phänomenologie der Wärmelehre • Zustandsänderungen • Kinetische Gastheorie • Reale Gase und Phasenübergänge Transportprozesse (10 %) • Ströme, Kontinuitätsgleichung, Diffusion, Wärmeleitung

Motivation Entscheidende Experimente legten die Grundlagen der Quantenphysik und geben weiterhin Impulse für ihre Weiterentwicklung. Intensive Forschung auf dem Gebiet der Quantenstruktur und -dynamik ermöglicht es immer noch, die Grenzen der bekannten Physik durch �  <mehr>

Motivation Entscheidende Experimente legten die Grundlagen der Quantenphysik und geben weiterhin Impulse für ihre Weiterentwicklung. Intensive Forschung auf dem Gebiet der Quantenstruktur und -dynamik ermöglicht es immer noch, die Grenzen der bekannten Physik durch überschaubare Experimente zu erweitern. Die in der modernen Atomphysik realisierbare Präparation exquisit isolierter Quantensysteme sowie die unübertroffene Genauigkeit ihrer Messmethoden erlauben auch die Suche nach Physik jenseits der Standardmodelle; daraus entstandene Quantensensoren sind zu unverzichtbaren Werkzeugen der Physik und der allgemeinen Wissenschaft geworden. Das Seminar soll einen Überblick über Präzisionsexperimente mit atomaren Systemen und ihre aktuellen Anwendungen auf fundamentale Fragen der Physik geben. Beispiele für mögliche Themen sind: -Wasserstoffatom: Bohrmodel, Lamb-Verschiebung, Protonenradius -Atomstrahlen, Atomfallen, Laserkühlung -Atomuhren, Frequenzmetrologie und Suche nach neuer Physik -Elektronen, Protonen und Antimaterie in Ionen- und Atomfallen -Tests der Quantenelektrodynamik mit Penningfallen -Röntgenspektroskopie von astrophysikalischen Plasmen mit hochgeladenen Ionen -Beschleuniger und Speicherringe in der Atom- und Molekülphysik -Studien der Paritätsverletzung in Kernzerfällen und in atomaren Systemen -Ionenfallen: Quantisierung der Bewegung, Verschränkung, quantum computing -Quantentests zu Naturkonstanten, Lorentzinvarianz, Dunkler Materie und neuen Teilchen Bose--Einstein-Kondensation und Quantenstatistik -Ultrakurzpulslaser und Quantendynamik: von der Nano- zur Femtosekunden-Zeitskala -Erzeugung von hohen Harmonischen und Attosekundenpulsen -Zeitaufgelöste Messung der Elektronendynamik in Atomen und Molekülen -Physik von Freie-Elektronen-Lasern Erster Seminartermin: 28.10.2025 Zeit: wöchentlich, Di. 16:00 bis 18:00; Ort: INF 227 / Übungsraum (622703402) Dozenten: José R. Crespo López-Urrutia Anmerkungen - Die Seminarvorträge (Deutsch oder Englisch) werden in der Regel 35 Minuten plus Diskussion dauern. - Eine regelmäßige Teilnahme (>80%) und die Abhaltung eines Vortrags sind Voraussetzung für das erfolgreiche Bestehen des Kurses (PSEM, 2LP). - Ein zusätzlicher LP (UKS2) wird für die Vorbereitung einer schriftlichen Ausarbeitung des Vortrags mit Folien und inhaltlichen Angaben vergeben werden. - Die Benotung der Lehrveranstaltung wird sowohl die Vortragsvorbereitung und -durchführung als auch die aktive Teilnahme an den Diskussionen berücksichtigen. - Vier Wochen vor dem jeweiligen Termin wird vom Betreuer (crespojr@mpi-hd.mpg.de) die für die Vorbereitung des Vortrags notwendige Literatur geschickt. Eine erste gemeinsame Durchsicht des Vortrags mit dem Betreuer soll während der Vorbereitungsphase etwa zwei Wochen vor dem Vortrag stattfinden. - Nach Bedarf werden ein bis zwei Vorträge pro Seminartermin angesetzt werden.

Durchführung von 4 Physikalischen Experimenten an Instituten der Fakultät und Max-Planck-Instituten aus 4 verschiedenen Forschungsgebieten der Fakultät. Die Experimente sind forschungsnah und nutzen eine Instrumentierung, die auch in den Forschungslabors genutzt wird  <mehr>

Durchführung von 4 Physikalischen Experimenten an Instituten der Fakultät und Max-Planck-Instituten aus 4 verschiedenen Forschungsgebieten der Fakultät. Die Experimente sind forschungsnah und nutzen eine Instrumentierung, die auch in den Forschungslabors genutzt wird. Experimente werden angeboten zur Atom- und Molekülphysik, Astrophysik, Kern- und Teilchenphysik, Physik der Kondensierten Materie und Umweltphysik.

Mathematischer Vorkurs für Physiker/innen 23.09. - 11.10.2024   Für das Physikstudium werden von Anfang an solide Kenntnisse und Fertigkeiten aus der höheren Schulmathematik benötigt. Es handelt sich um:    <mehr>

Mathematischer Vorkurs für Physiker/innen 23.09. - 11.10.2024   Für das Physikstudium werden von Anfang an solide Kenntnisse und Fertigkeiten aus der höheren Schulmathematik benötigt. Es handelt sich um:   Zahlen, Folgen, Reihen und Funktionen, Differential- und Integralrechnung. Trigonometrische Funktionen, Exponentialfunktion, Logarithmus. Elementare Vektorrechnung. Komplexe Zahlen. Taylorreihe.   Literatur: K. Hefft, Mathematischer Vorkurs zum Studium der Physik, Springer, Spektrum, (2. Auflage), 2018 Online Fassung: http://www.thphys.uni-heidelberg.de/~hefft/vk1/ ;   Weitere Literatur: S. Grossmann, Math. Einführungskurs für die Physik, Springer Vieweg, 2012; K. Weltner, Mathematik für Physiker 1 und 2, Springer, 2008; L. Papula, Mathematik für Ingenieure und Naturwissenschaflter, Springer Vieweg, 2012; Chr. B. Lang, N. Pucker, Mathematische Methoden in der Physik, Springer Spektrum, 2005;   Der Kurs richtet sich an Studienanfänger/innen mit dem Hauptfach Physik (BSc und Lehramt). Er soll den Übergang von der Schulmathematik zur Anfängervorlesung Physik erleichtern und wird nicht nur denjenigen empfohlen, deren Schulabschluss längere Zeit zurückliegt oder die im letzten Schuljahr wenig Mathematikunterricht hatten.   Der Mathematische Vorkurs ist Bestandteil des Einführungskurses für Studienanfänger/innen, der u.a. einen Basiskurs Schlüsselkompetenzen für ein nachhaltiges Studium enthält. Die Kursdauer beträgt 3 Wochen; täglich 9.15 Uhr bis ca. 18.00 Uhr. Beginn: 25.09.2023, 9.00 c.t. Uhr, INF 308, HS 1,  

Trajektorie, Geschwindigkeit, Beschleunigung • Newton’sche Axiome • Gewöhnliche Differentialgleichungen, insbesondere lineare (†) • Harmonischer Oszillator • Taylorreihe, Beschreibung durch komplexe Zahlen (†) • Systeme von Massenpunkten • Impuls- und  <mehr>

Trajektorie, Geschwindigkeit, Beschleunigung • Newton’sche Axiome • Gewöhnliche Differentialgleichungen, insbesondere lineare (†) • Harmonischer Oszillator • Taylorreihe, Beschreibung durch komplexe Zahlen (†) • Systeme von Massenpunkten • Impuls- und Drehimpulserhaltung • Differential- und Integralrechnung reeller Funktionen mehrerer Veränderlicher, Vektorfelder, krummlinige Koordinatensysteme (†) • Konservatives Kraftfeld • Stokes’scher Satz (†) • Matrix-Gruppen und -Darstellungen am Beispiel der Drehgruppe, Tensoren (†) • Galilei-Transformationen • Scheinkräfte • Allgemeines Zentralkraftproblem und Keplerproblem • Stellardynamik (*) • Gravitation ausgedehnter Körper • Gauß’scher Satz (†) • Zusammenfassung: Vektoranalysis und Integralsätze im 3-dim. Raum (†) • Zerfalls- und Stoßprozesse, Wirkungsquerschnitt • Gekoppelte Oszillatoren, schwingende Saite und Membran • Makromoleküle (*) • Strings (in Teilchenphysik und Kosmos) (*) • Mechanische Ähnlichkeit und Virialsatz Die mit (†) gekennzeichneten Teile markieren die Mathematikinhalte, die einen wesentlichen Teil der Vorlesung ausmachen; die mit (*) gekennzeichneten Inhalte repräsentieren moderne Aspekte und können je nach Dozent variieren

• Maxwellsche Gleichungen • Elektrostatik und Magnetostatik • Multipolentwicklung, Kugelflächenfunktion (†) • Vollst. Funktionensysteme, Fourieranalyse, Fourierintegral (†) • Maxwellsche Gleichungen in Materie • Spezielle Relativitätstheorie • Kovari  <mehr>

• Maxwellsche Gleichungen • Elektrostatik und Magnetostatik • Multipolentwicklung, Kugelflächenfunktion (†) • Vollst. Funktionensysteme, Fourieranalyse, Fourierintegral (†) • Maxwellsche Gleichungen in Materie • Spezielle Relativitätstheorie • Kovariante Formulierung, Eichinvarianz • Lagrangedichte-Elektrodynamik • Formulierung der E-Dynamik mit Differentialformen, höhere Form-Felder (*) • Teilchen in Wechselwirkung mit Feldern • Wellen • Wellen in Materie • Felder bewegter Ladungen • Greensfunktionen, Funktionentheorie (†) • Dipolstrahlung • Thomson-Streuung und Synchrotronstrahlung • Geometrische Optik • Polyelektrolyte, DNA (*) Die mit (†) gekennzeichneten Teile markieren die Mathematikinhalte, die einen wichtigen Teil der Vorlesung ausmachen; die mit (*) gekennzeichneten Inhalte repräsentieren moderne Aspekte und können je nach Dozent variieren

Diese Vorlesung ist der erste Teil des WP Astro Moduls "Einführung in die Astronomie und Astrophysik", das aus 2 Semestern Vorlesung mit Übungen besteht, und einem Praktikum. Es geht um das physikalische Verständnis unseres Universum jenseits der Erde: -- wie erfor  <mehr>

Diese Vorlesung ist der erste Teil des WP Astro Moduls "Einführung in die Astronomie und Astrophysik", das aus 2 Semestern Vorlesung mit Übungen besteht, und einem Praktikum. Es geht um das physikalische Verständnis unseres Universum jenseits der Erde: -- wie erforscht man das Universum? -- wie kommt man von Beobachtungen zu einem physikalischen Verständnis? -- Was sind die grundlegenden Erkentnisse, vom Sonnensystem zum Urknall? Im ersten Semester (WS) werden folgende Themenkreise behandeln: — eine kurze Reise durch den Kosmos: erster Überblick — Astronomische Grundlagen : astronomische Beobachtung; elektromagnetische Strahlung; Entfernungsmessung; Sonnensystem — Physik der Sterne: Sternaufbau und Energieerzeugung — Phasen der Sternentwicklung: von der Geburt bis zu weissen Zwergen und schwarzen Löchern — Physik des interstellaren Mediums: Gas und Staub Homepage: https://uebungen.physik.uni-heidelberg.de/vorlesung/20252/2095

In this astrophysics lecture we cover the theoretical concepts of how planets and planetary systems are thought to form. This includes the planets in our solar system as well as exoplanets. The journey starts with the formation of a star, surrounded by a disk of gas and  <mehr>

In this astrophysics lecture we cover the theoretical concepts of how planets and planetary systems are thought to form. This includes the planets in our solar system as well as exoplanets. The journey starts with the formation of a star, surrounded by a disk of gas and cosmic dust: the protoplanetary disk. This disk is the environment in which (and contains the matter from which) planets form. We will therefore discuss in quite some depth the structure, dynamics, thermodynamics and chemistry of these disks, including radiative transfer, hydrodynamics, magnetohydrodynamics, etc. And we will discuss the wealth of observations of these disks that have been obtained, in particular in the last decade, with the VLT and Subaru telescopes, with ALMA, and with several space-borne telescopes such as JWST. We will then move on to discuss the richness of physical phenomena that underpin the long journey from micrometer-sized dust (=rock) particles all the way to many-thousand kilometer sized planets. These include, among other things: gas turbulence, dust particle drift, coagulation and fragmentation of dust aggregates, formation of planetesimals through streaming instability, restricted three-body problem, dynamical friction, pebble accretion, planetary migration, planetary collisions, N-body dynamics, gas accretion, (pebble-)isolation mass, planetary interiors, equations of state at high pressures and temperatures, phase diagrams of rocks, magma oceans, clues from the Solar system (meteoritic evidence, planetary orbits, etc), and many more.

Dieser Kurs wurde von Dr. Thomas P. Robitaille entwickelt, der diesen Kurs viele Jahre lang an der Universität Heidelberg gehalten hat. Aufgrund der Beliebtheit dieses Kurses bieten wir nun mehrere Blockkurse parallel an. Dr. Robitaille hat eine andere Stelle angetrete  <mehr>

Dieser Kurs wurde von Dr. Thomas P. Robitaille entwickelt, der diesen Kurs viele Jahre lang an der Universität Heidelberg gehalten hat. Aufgrund der Beliebtheit dieses Kurses bieten wir nun mehrere Blockkurse parallel an. Dr. Robitaille hat eine andere Stelle angetreten, so dass dieser Kurs nun von anderen Lehrkräften gehalten wird.

This course provides a firm understanding of the theoretical concepts of astrophysics, together with their assumptions and limitations. Topics covered include: -- Hydrodynamics: Basics and equations of motion; ideal and viscous fluids and currents; sound waves, superson  <mehr>

This course provides a firm understanding of the theoretical concepts of astrophysics, together with their assumptions and limitations. Topics covered include: -- Hydrodynamics: Basics and equations of motion; ideal and viscous fluids and currents; sound waves, supersonic currents and shock waves; instabilities, convection and turbulence -- Plasma physics: Basics of collision-less plasmas; dielectric tensor; dispersion relation, longitudinal waves and Landau damping; magnetohydrodynamic equations; waves in magnetized plasmas; hydrodynamic waves -- Radiative processes: Macroscopic radiation measurements; emission, absorption and scattering, radiative transfer; Bremsstrahlung and synchrotron radiation; ionization and recombination; spectra -- Stellar dynamics: Relaxation; Jeans equations and Jeans theorem; tensor-virial theorem; equilibrium and stability of self-gravitating systems; dynamical friction; Fokker-Planck approximation

The lectures will introduce the foundations of modern cosmology. Topics include the basics of General Relativity, the modeling of a homogeneous and isotropic universe, dark matter, the cosmological constant and dark energy, cosmic inflation, and the thermal history of t  <mehr>

The lectures will introduce the foundations of modern cosmology. Topics include the basics of General Relativity, the modeling of a homogeneous and isotropic universe, dark matter, the cosmological constant and dark energy, cosmic inflation, and the thermal history of the universe, including cosmological nucleosynthesis and the cosmic microwave background. We will also study cosmic structure formation in both the linear and non-linear regimes. After establishing the theoretical framework, the course will explore the key observational evidence that underpins our current understanding of the universe. Webpage: https://uebungen.physik.uni-heidelberg.de/vorlesung/20252/2105

• Review of basic quantum mechanics • Dirac equation and relativistic corrections • Quantization of the electromagnetic field and consequences • Many-electron atoms • Molecular structure • Interaction with electromagnetic fields • Time-dependent processes  <mehr>

• Review of basic quantum mechanics • Dirac equation and relativistic corrections • Quantization of the electromagnetic field and consequences • Many-electron atoms • Molecular structure • Interaction with electromagnetic fields • Time-dependent processes • Scattering and collisions • Quantum statistics and quantum gases • AMO Physics in Heidelberg (with laboratory visits)

In this seminar, we will cover YOUR topic of interest in physics. If you still want to find and/or develop your passion for a specific science area, I can provide some stimulus in terms of topics to choose from. However, I highly appreciate if you already know your top  <mehr>

In this seminar, we will cover YOUR topic of interest in physics. If you still want to find and/or develop your passion for a specific science area, I can provide some stimulus in terms of topics to choose from. However, I highly appreciate if you already know your topic of choice and introduce it to your fellow students and myself, and we can all discuss it together. This seminar, in general, aims at current and foundational experimental and theoretical advances of physics. The idea is to prepare presentations and to discuss topics of interest in physics, such as landmark historical or recent experiments but also experimental or numerical methods (e.g. computational physics), depending on interest and initiative of you as participants. Each seminar talk, given by a student, should introduce into the fundamentals of the chosen topic in a manner understandable to any general physics student of your own academic age, and present one or two noteworthy recent results or achievements in this field. A key goal is to explore and develop your own scientific curiosity and passion for physics questions of interest to you, concepts, necessary methodology and past, current and potential future research. It thus requires from you as participants the openness towards these goals, readiness for lively discussions, creative new ways of sharing knowledge, as well as independence in searching for, organizing, presenting novel information with your fellow student participants of this seminar series and engaging them in (constructive as well as critical) discussions. Looking forward to learning together with you. Our first meeting will take place on 17 October 2025, where we will assign the dates for your presentations. We will then meet at this time in the same place for the following seminar meetings as well. Webpage Seminar: tbd Webpage Pfeifer Division: https://www.mpi-hd.mpg.de/pfeifer/

Die folgende Liste der Themen ist als Anhalt gedacht: • Modell eines Tornados: Drehimpulserhaltung, Unterdruck, herleiten wie groß die Windgeschwindigkeit und Unterdruck sind. • Magnetfeld Erde: Ausrechnen welche Sonnenteilchen/Kosmische Strahlen abgelenkt werd  <mehr>

Die folgende Liste der Themen ist als Anhalt gedacht: • Modell eines Tornados: Drehimpulserhaltung, Unterdruck, herleiten wie groß die Windgeschwindigkeit und Unterdruck sind. • Magnetfeld Erde: Ausrechnen welche Sonnenteilchen/Kosmische Strahlen abgelenkt werden. Wie gefährlich wäre der Sonnenwind (vor allem coronal mass ejections) für Astronauten? • Autounfall: Ausrechnen bei welcher Geschwindigkeit ein Airbag noch Sinn macht bei einem Frontal-Zusammenstoß. • Alternative Energie: Ausrechnen wie viel Windmühlen und wie viel m^2 Sonnenzellen man braucht, damit Deutschland 100 Prozent auf neuerbare Energiequellen umgeschaltet ist. • Raketengleichung: Herleitung und Anwendung. Warum war die Saturn V Rakete so riesig, obwohl man mit einem Mini-Lunar Module von der Mond wegkommen konnte? • Flugzeugflügel: wieso können Flugzeuge fliegen? • Tsunamis: Shallow water equation für die Analyse von Tsunamis. Warum (und unter welchen Umständen) sind Tsunamis so gewaltig? • Blitze (Gewitter): Wie funktionieren sie ungefähr, und wie kann man die Lautstärke berechnen. Vielleicht eine Abschätzung davon, wie viel Hagelkörner man braucht um genügend Ladungs-Separation zu machen um überhaupt Blitze zu erzeugen. • GPS-Navigation: Spezielle und allgemein-Relativistische Effekte.

Vorgaben des Bildungsplans Physik Gymnasium Einführung in fachdidaktische Denk- und Arbeitsweisen Grundlagen der Planung und Analyse von Physikunterricht zu ausgewählten Teilgebieten der Physik unter Einbeziehung heterogener Lerngruppen Experimente, Medieneinsatz u  <mehr>

Vorgaben des Bildungsplans Physik Gymnasium Einführung in fachdidaktische Denk- und Arbeitsweisen Grundlagen der Planung und Analyse von Physikunterricht zu ausgewählten Teilgebieten der Physik unter Einbeziehung heterogener Lerngruppen Experimente, Medieneinsatz und Aufgabenkultur im Physikunterricht Leistungsbewertung im Physikunterricht Fachdidaktische Reflexion von Physikunterricht

• Foundations of statistics, information, entropy • Statistical description of physical systems • Ensembles, density of states • Irreversibility • State variables, ideal and real gases, thermodynamic potentials, the fundamental laws of thermodynamics, • Mate  <mehr>

• Foundations of statistics, information, entropy • Statistical description of physical systems • Ensembles, density of states • Irreversibility • State variables, ideal and real gases, thermodynamic potentials, the fundamental laws of thermodynamics, • Material constants, equilibrium of phases and chemical equilibrium, law of mass action, ideal solutions • Fermi- and Bose-statistics, ideal quantum gases • Phase transitions, critical phenomena (Ising model) • Transport theory (linear response, transport equations, master equation, Boltzmann equation, diffusion) • The theory of the solid state as an example for a non-relativistic field theory • Applications, for example specific heat of solids, thermodynamics of the early universe etc.

• Quantizing scalar fields • Canonical quantization and path-integral quantization • Radiative corrections, renormalization • Quantizing spin 1 fields • Dirac equation • Quantizing spin 1/2 fields • Interacting fields, S-matrix • Feynman rules, cross sec  <mehr>

• Quantizing scalar fields • Canonical quantization and path-integral quantization • Radiative corrections, renormalization • Quantizing spin 1 fields • Dirac equation • Quantizing spin 1/2 fields • Interacting fields, S-matrix • Feynman rules, cross sections • Quantum Electrodynamics, QED processes at tree level

The lecture is equivalent to the bachelor module parts WPAstro.1+2 during the winter and summer terms but requires a slightly higher level of basic physical knowledge. Nevertheless also motivated 3rd semester BSc students are welcome to participate. This lecture is  <mehr>

The lecture is equivalent to the bachelor module parts WPAstro.1+2 during the winter and summer terms but requires a slightly higher level of basic physical knowledge. Nevertheless also motivated 3rd semester BSc students are welcome to participate. This lecture is organised as a block course with 2 parts from Sep. 22 - Oct. 19th, 2024. Certificates are only given for active participation in the exercises (meaning also being present at all exercises) and passing the written examination. Homework should/can be done in groups of 2(3) Bachelor students You can choose: WPAstro.1,2: - 8CP with marks (lab course needed for complete module) - The written examination will be graded - Marks count for the full 10CP including the lab course MVAstro0: - 8CP, no marks as a master module in the ‘Wahlbereich’ - Master students (MVAstro0) - 8CP, no marks - only passed - Can be used as part of MVMod (specialisation in Astrophysics) - Can be used as an option: just 8CP PhD (including IMPRS) Active participation in exercises is strongly recommended, and a successful written exam for certificate More info on the rules for studying astronomy in Heidelberg: https://www.zah.uni-heidelberg.de/fileadmin/user_upload/downloads/Miscellaneous/Studyplan_Astro_English.pdf Lecturers: Prof. Dr. Stefan Jordan, Dr. Markus Pössel Lecture Introduction to Astronomy (V, block) Time: daily 9:30 - 13:00, 22.09. - 10.10.2024 (1 free day on October 3) Location: gHS (großer Hörsaal at Phil.12, 2nd floor) Exercises to Introduction to Astronomy Time: daily 14:30 - 16:00 (group 1), 16:00-17:30 (group 2) Location: Neuer Hörsaal (at Phil.12) Content 22.9. Introduction/Fundamentals of Astronomy: Jordan 23.9. Fundamentals 2: Jordan 24.9. Sun and Planetary System 1: Jordan 25.9. Sun an Planetary System 2: Jordan 26.9. Telescopes and Instruments: Jordan 29.9. Radiation and stars: Jordan 30.9. Stellar evolution: Jordan 1.10. Introduction; Expanding Universes 1: Pössel 2.10. Expanding Universes 2; Big Bang Phase: Pössel 6.10. Structure Formation; Basic Galaxy Properties: Pössel 7.10. Galaxy Spectra; Stellar Motion in Galaxies 1: Pössel 8.10. Stellar Motions in Galaxies 2; Star Formation in Galaxies; The Milky Way: Pössel 9.10. Central Black Holes; Active Galaxies; Gravitational Lensing: Pössel 10.10. Galaxy Groups and Clusters; Milky Way Archaeology; Galaxy Evolution: Pössel TBD: Written exam

Die Vorlesung gibt einen Einblick in das aktuelle und spannende Gebiet der Präzisionsexperimente an gespeicherten und gekühlten Teilchen. Dabei werden deren Grundlagen im Detail diskutiert. Grundzustandseigenschaften von Kernen wie z.B. Spin, Ladungsradius, Masse und  <mehr>

Die Vorlesung gibt einen Einblick in das aktuelle und spannende Gebiet der Präzisionsexperimente an gespeicherten und gekühlten Teilchen. Dabei werden deren Grundlagen im Detail diskutiert. Grundzustandseigenschaften von Kernen wie z.B. Spin, Ladungsradius, Masse und Lebensdauer sind wichtige Größen in der Atom- und Kernphysik. Gespeicherte Teilchen bieten einen idealen atomphysikalischen Zugang zur präzisen Bestimmung dieser Größen. Kühl- und Speichertechniken spielen daher eine immer bedeutendere Rolle. Geplanter Inhalt: I Grundlagen 1. Ionen- und Atomstrahlerzeugung 2. Nachweisdetektoren 3. Kühlung von geladenen Teilchen 4. Grundlagen der Laserspektroskopie: Atomphysikalische Grundlagen 5. Speicherung von geladenen Teilchen in Paul- und Penningfallen 6. Speicherung von geladenen Teilchen in Speicherringen 7. Speicherung mittels Flugzeitspektrometern II Präzisionsexperimente 8. Präzisionsmassenspektrometrie 9. Experimente mit Antimaterie / Standardmodell der Teilchenphysik 10. g-Faktor Experimente 11. Molekül- und Clusterexperimente in Speicherringen 12. Präzisionslaserspektroskopie / HCI clocks III Zukunftsanlagen 13. Zukunftsexperimente

Medical imaging (MRI, CT, nuclear medicine), radiation therapy and biology, optical imaging / microscopy. Registration via the following link: https://medphysrad-teaching.dkfz.de/seminar.html (all relevant information can be found there) Update 19.09.2025: heiCO regis  <mehr>

Medical imaging (MRI, CT, nuclear medicine), radiation therapy and biology, optical imaging / microscopy. Registration via the following link: https://medphysrad-teaching.dkfz.de/seminar.html (all relevant information can be found there) Update 19.09.2025: heiCO registration is now possible. REGISTRATION in heiCO is NOT SUFFICIENT to secure a place in the seminar !

Introduction, final decision to participate in this seminar, and assignment of topics will be done during the first seminar session. Typical topics are: - Probing Magnons by Electron Spin Resonance Studies - 1D Quantum Spin Systems - Quantum Spin Liquids in Magnetical  <mehr>

Introduction, final decision to participate in this seminar, and assignment of topics will be done during the first seminar session. Typical topics are: - Probing Magnons by Electron Spin Resonance Studies - 1D Quantum Spin Systems - Quantum Spin Liquids in Magnetically Frustrated 2D Materials - Cathode Materials for Lithium-ion Batteries: Relevance of the Electronic Structure ...

Vorträge zu zahlreichen klassischen Themen der Isotopenmethoden in der Umweltphysik, einschließlich des Wasserkreislaufs, des Kohlenstoffkreislaufs und auch der Forensik. Die Themenbereiche umfassen den Transport und die Fraktionierung von Wasser- und Kohlenstoffisoto  <mehr>

Vorträge zu zahlreichen klassischen Themen der Isotopenmethoden in der Umweltphysik, einschließlich des Wasserkreislaufs, des Kohlenstoffkreislaufs und auch der Forensik. Die Themenbereiche umfassen den Transport und die Fraktionierung von Wasser- und Kohlenstoffisotopen in der Atmosphäre, im Ozean und in der Biosphäre, und wir schließen die Verwendung von Radiokohlenstoff als Umwelt-Tracer ein. Termin/Vortragsthema/Betreuer:in 17.10.2025 Einführung, Vorbesprechung 24.10.2025 Einlesen/Vorbereiten 31.10.2025 Einlesen/Vorbereiten 07.11.2025 (1) Isotopentrenneffekte (NF) 14.11.2025 (2) Messmethoden Massenspektrometrie (NF) 21.11.2025 (3) Messmethoden CRDS (MS) 28.11.2025 (4) Der globale Wasserkreislauf (MS) 05.12.2025 (5)Kohlenstoffkreislauf Atmosphäre(13C, 18O) (MS) 12.12.2025 (6) Globaler CH4 Kreislauf (MS) 19.12.2025 (7) Messmethode AMS (NF) 09.01.2026 Ersatztermin /entfällt 16.01.2026 (8) 14CO2 in der Atmosphäre (MS) 16.01.2026 (9) 14CO2 im Ozean (NF) 23.01.2026 (10) Klimarekonstruktionen Eisbohrkerne (NF) 30.01.2026 (11) Isotope in der Forensik + Laborführung (MS)

Overarching theme of the seminar in WS24/25: Exploring the Processes of the Earth System: Recent Advances in Environmental Physics Details: • during the seminar, 13 talks on specific research areas of environmental physics are given and actively discussed by all cou  <mehr>

Overarching theme of the seminar in WS24/25: Exploring the Processes of the Earth System: Recent Advances in Environmental Physics Details: • during the seminar, 13 talks on specific research areas of environmental physics are given and actively discussed by all course participants. • Each participant will prepare and present an advanced topic in environmental physics • Beside the oral presentation of the research topic also is write-up of the presented talk is required.

Various remote sensing methods in different spectral ranges for the measurement of atmospheric properties are presented. The individual chapters start with the underlying physical interactions. Then the technical realisations and instruments are discussed. Finally exam  <mehr>

Various remote sensing methods in different spectral ranges for the measurement of atmospheric properties are presented. The individual chapters start with the underlying physical interactions. Then the technical realisations and instruments are discussed. Finally examples of atmospheric measurements presented and their relevance for scientific questions (e.g. air pollution, climate change) are discussed. If non-German speaking participants attend the lecture, it will be given in English. Otherwise in German.

Lecture on the physics of the climate system, its statistical nature, energy and mass transfer, its sensitivity to external forcing and internal feedback. Climate variability will be discussed on different time scales as well as the cycles of water and green house gases  <mehr>

Lecture on the physics of the climate system, its statistical nature, energy and mass transfer, its sensitivity to external forcing and internal feedback. Climate variability will be discussed on different time scales as well as the cycles of water and green house gases and some important aspects on the response of system compartments on forcing. Lastly, a glimpse is given on climate modelling of present and past climate.

- Stratification and circulation of lakes, Navier Stokes – eq. – solutes, solubility, electrical conductivity – density, stability and mixing, deep water renewal – surface waves, seiche, interfacial waves – internal waves - properties of internal waves - Perma  <mehr>

- Stratification and circulation of lakes, Navier Stokes – eq. – solutes, solubility, electrical conductivity – density, stability and mixing, deep water renewal – surface waves, seiche, interfacial waves – internal waves - properties of internal waves - Permanent stratification, meromixis, climate sensitivity - Turbulence I: Introduction to turbulence - Turbulence II: Spectral characteristics and measurements - Turbulence III: Momentum and mass transport in turbulent boundary layers - Turbulence IV: Living in turbulence: biological – physical interactions - tracers in aquatic environments

1-week block lecture, language: English, Mar. 2 - 6, 2026, IUP - INF229, first floor (R108), lecturer: Dr. Jochen Landgraf The lecture will cover the principles of radiative transfer with a focus on the Earth's atmosphere including a discussion of electromagnetic waves  <mehr>

1-week block lecture, language: English, Mar. 2 - 6, 2026, IUP - INF229, first floor (R108), lecturer: Dr. Jochen Landgraf The lecture will cover the principles of radiative transfer with a focus on the Earth's atmosphere including a discussion of electromagnetic waves, radiometric quantities and polarization, absorption and emission by molecules, scattering by molecules and particles, radiative transfer equation and solution methods for the Earth's atmosphere, remote sensing applications.

This seminar introduces machine learning techniques as well as classical algorithms, and explores their applications in contemporary particle physics experiments such as ATLAS, ALICE, CMS, and LHCb. Each session will begin with a clear and accessible overview of a speci  <mehr>

This seminar introduces machine learning techniques as well as classical algorithms, and explores their applications in contemporary particle physics experiments such as ATLAS, ALICE, CMS, and LHCb. Each session will begin with a clear and accessible overview of a specific algorithm, followed by a discussion of how it is used in actual high-energy physics analyses. The seminar is designed to be approachable for students from a variety of backgrounds. Prior experience with machine learning is helpful but not required. Topics include: Particle Identification with Boosted Decision Trees Particle Identification with Neural Networks Bayesian Parameter Estimation Particle Tracking with the Kalman Filter Graph Neural Networks for Particle Tracking and Reconstruction Anomaly Detection Fast Machine Learning for Triggering and Data Acquisition Uncertainty Quantification in ML Predictions Generative Models for Detector Simulation Symbolic regression Jet tagging with Transformers

Astronomical and cosmological observations require the existence of dark matter in our universe. Today, Dark Matter is generally thought to have particle nature, where the dark matter particles have relatively long lifetimes, interact gravitationally and, possibly, also  <mehr>

Astronomical and cosmological observations require the existence of dark matter in our universe. Today, Dark Matter is generally thought to have particle nature, where the dark matter particles have relatively long lifetimes, interact gravitationally and, possibly, also via the weak interaction. In the Standard Model of particle physics, only neutrinos have the correct properties, but, due to their small mass, neutrinos can only account for a small fraction of the observed Dark Matter in our universe. In extended versions of the standard model sterile neutrinos, in particular keV-sterile neutrinos can contribute as warm dark matter candidates. Light supersymmetric particles are an example for weakly interacting massive particles (WIMPs) which are candidates for cold darm matter. Other viable dark matter candidates are axions, which have been introduced to solve the strong CP-problem of QCD, or axion-like particles. The seminar will address the astrophysical and cosmological evidences which led to the postulation of dark matter. It will discuss the most prominent dark matter candidates and the different direct and indirect methods to search for their existence. Particular emphasis is put on the determination of neutrino masses, the search for sterile neutrinos, WIMPS and axions.

Condensed Matter Theory I: The complexity of 1023 particles interacting with each other in a solid give rise to many emergent phenomena one would not predict from the simple interactions between two electrons. In this lecture we will, starting from simple models and the  <mehr>

Condensed Matter Theory I: The complexity of 1023 particles interacting with each other in a solid give rise to many emergent phenomena one would not predict from the simple interactions between two electrons. In this lecture we will, starting from simple models and theories work our way into the contemporary theory of many particle physics. The lecture follows for a large part the textbook of Ashcroft and Mermin, with one big difference. The aforementioned text-book is based on a text over 50 years old. During the last decades new methods have emerged, often removing the need to know the full wave-function of the system to answer the problem, by using Green's functions. Whenever possible the later will be used within this lecture. Concepts of many particle systems discused are: The Drude Theory of Metals The Sommerfeld Theory of Metals Electrons in a periodic potential Tight binding Band-structure, Fermi-surface, Density of states, Metals, Insulators, Semiconductors Semiconductor physics Surface states Phonons and disorder Relativistic corrections - spin-orbit coupling Phase transitions and topology Response functions Theoretical / Mathematical tools used will be Second quantization Green's functions (on an independent particle level) Self energy (for surface states and disorder) Levels of theory discussed will be Mean-field theory Hartree-Fock Density functional theory

Motivation: After discussing dynamical systems on the level of ODEs in the last semester, we here will discuss how to transfer the knowledge to PDEs with a focus on pattern formation and solitons. Pattern formation is one of the most fascinating and intriguing phenomena  <mehr>

Motivation: After discussing dynamical systems on the level of ODEs in the last semester, we here will discuss how to transfer the knowledge to PDEs with a focus on pattern formation and solitons. Pattern formation is one of the most fascinating and intriguing phenomena in nature: it takes place in a wide variety of physical, chemical and biological systems and on very different spatial and temporal scales: examples are convection phenomena in geosciences and meteorology, but also patterns occurring in chemical reactions and bacterial colonies. In some circumstances, pattern formation is undesired, for instance the formation of spiral waves leading to cardiac arrhythmias in the heart muscle. In other contexts, pattern formation is even essential for the functioning of a system as in cell division and embryo development. Contents: We will study spatio-temporal behavior, i.e. partial differential equations (PDEs) and discuss the main questions in pattern formation: when will a homogeneous state become structured, i.e. unstable towards a pattern? What are the generic scenarios/types of patterns? When are patterns stable and are they unique? What determines the wavelength / period in time / amplitude of a pattern? A universal description of pattern dynamics exists, i.e. amplitude equations can be derived that are related to the famous Ginzburg-Landau equation (Nobel Prize in Physics 2003, originally derived for superconductivity). Nonlinear waves and solitons (localized waves) will also be discussed. They again occur in many systems, from coupled nonlinear springs to hydrodynamic surface waves and nonlinear optics.

This advanced theory lecture builds on the statistical physics course (MKTP1) and introduces paradigmatic models of statistical physics and their critical properties near phase transitions. In particular, we shall discuss the Heisenberg and O(N) vector models, the nonl  <mehr>

This advanced theory lecture builds on the statistical physics course (MKTP1) and introduces paradigmatic models of statistical physics and their critical properties near phase transitions. In particular, we shall discuss the Heisenberg and O(N) vector models, the nonlinear sigma model, the XY model, the Sine-Gordon model, and the spherical model. By computing their critical behavior, one can understand the phase transitions in many different systems in statistical physics, condensed matter physics and beyond, which belong to the same universality classes. We will use field theoretic methods and introduce renormalization, epsilon expansion, and duality transformation. Contents: 1. Landau theory and O(N) vector model 2. Renormalization group and universality 3. Nonlinear sigma model and epsilon expansion 4. Topological excitations in the XY and Sine-Gordon models and the Berezinskii-Kosterlitz-Thouless transition 5. Spherical model and quantum phase transitions 6. Disordered systems 7. Random walks 8. Critical dynamics

We will give an introduction to classical non-equilibrium physics, both on the macroscopic (thermodynamic) and the microscopic (kinetic) level. We will start by generalizing equilibrium thermodynamics to spatial degrees of freedom. By allowing for small currents (of he  <mehr>

We will give an introduction to classical non-equilibrium physics, both on the macroscopic (thermodynamic) and the microscopic (kinetic) level. We will start by generalizing equilibrium thermodynamics to spatial degrees of freedom. By allowing for small currents (of heat or particles, for instance), the theory of linearly irreversible thermodynamics will be developed. A major insight will be the occurrence of cross-coupling effects, like the Peltier and Soret effect, obeying important symmetries (Onsager relations, Nobel Prize in Chemistry 1968). The occurrence of instabilities (I. Prigogine, Nobel Prize in Chemistry 1977) will also be discussed. We will then switch to the microscopic scale and motivate the famous Boltzmann equation, the foundation of transport theory. We will solve it by several approximation methods and use it to derive macroscopic balance equations, yielding a microscopic foundation of the processes described in the first part of the lecture. Finally, we make a close connection to equilibrium statistical physics, by discussing linear response theory and deriving the fluctuation-dissipation theorem. The main insight will be that the response of a system to a small perturbation, i.e. the outcome of a non-equilibrium situation, can be calculated within equilibrium theory. If time permits, at the end we will discuss few current research topics, like the use of Boltzmann-type equations in the modeling of 'active' systems (collective motion of animals, dynamics of cellular extracts) and the occurrence of nonequilibrium phase transitions in boundary-driven transport (asymmetric exclusion processes).

After a (condensed) review of the Standard Model of Particle Physics and of features of nature that we do not yet understand, I will present ways to extend the SM at high energies and (theoretical and experimental) guidance we have on our road to find out how nature cou  <mehr>

After a (condensed) review of the Standard Model of Particle Physics and of features of nature that we do not yet understand, I will present ways to extend the SM at high energies and (theoretical and experimental) guidance we have on our road to find out how nature could look like at shortest distances. Topics covered in the lecture include Electroweak Symmetry Breaking and its Dynamics, Models of a Composite Higgs, Supersymmetry, Extra Dimensions, and further approaches to understand the puzzling hierarchies we observe in nature. Moreover, I will discuss Effective Field Theory, Flavor Physics & Neutrino Masses, Dark Matter, Baryogenesis and other aspects of Cosmology, as well as the Strong CP Problem and Axions.

Key problems in fundamental physics Lectures: (1) Physical time and the beginning Universe 11.11. - Clocks and the vacuum - Time coordinates in general relativity and cosmology ( proper time, conformal time, cosmic time ) - Field transf  <mehr>

Key problems in fundamental physics Lectures: (1) Physical time and the beginning Universe 11.11. - Clocks and the vacuum - Time coordinates in general relativity and cosmology ( proper time, conformal time, cosmic time ) - Field transformations and frame invariance: Is the age of the Universe 13.8 billion years? - Physical time for the beginning Universe - What is the meaning of expanding space and slowing time? (2) What is quantum gravity? 25.11. - Fields and symmetries - General coordinate invariance as a gauge symmetry - Quantum field theory for metric or vierbein - The role of metric fluctuations - Asymptotic safety - Lattice approaches and string theory - Can one observe quantum gravity effects? (3) Origin of wave functions and operators for quantum mechanics 9.12. - Evolution in classical probabilistic systems - Wave functions and time local probabilities in classical statistics - Transfer matrix and step evolution operator - The non-commuting structures in classical statistics - Unitary evolution and quantum mechanics - Probabilistic cellular automata as simple quantum systems (4) Quantum field theory from classical probabilities 20.1. - Functional integral approach to quantum field theory - Generalized Ising models as "functional integrals“ - Minkowski and euclidean time - Fermions as Ising spins - Simple probabilistic cellular automaton for fermionic quantum field theory in one time and one space dimension - Vacuum, operators and correlation functions (5) Cosmological constant and dynamical dark energy

This interdisciplinary block seminar addresses students after the 4th semester from physics, biology, molecular biotechnology, molecular systems engineering and related fields. It is jointly organized by Friedrich Frischknecht (medicine, biology, parasitology), Christin  <mehr>

This interdisciplinary block seminar addresses students after the 4th semester from physics, biology, molecular biotechnology, molecular systems engineering and related fields. It is jointly organized by Friedrich Frischknecht (medicine, biology, parasitology), Christine Selhuber-Unkel (experimental biophysics) and Falko Ziebert and Ulrich Schwarz (theoretical biophysics). In our Vorbesprechung on Mon Oct 13 2025 at 4.15 pm, INF 267 (BioQuant), SR 44, we will fix the dates and distribute the subjects. The ability to move is one of the most fundamental features of biological cells and nearly as important as their ability to grow and divide. A notable exception from this observation is the case of plant cells. However, most other cell types, including bacteria, unicellular eukaryotes and animal cells, usually require some kind of motility in order to function properly. Understanding how cells move is not only interesting from an academic point of view, it is also a subject of large practical relevance, ranging from the design of artificial motility in materials science to medical applications like the control of malaria infection or cancer metastasis. In this seminar, we will introduce the fundamental biological and physical mechanisms underlying cell motility, and discuss state-of-the-art research in this interdisciplinary research field. The most important physical restrictions for cell motility are that (1) cells are small (typical size 10 micrometer) and (2) immersed in water, which on their small scale is extremely viscous (as quantified by the Reynolds number). One important aspect of the seminar will be to learn about the specific consequences of this situation. In the first half, we will discuss swimming microorganisms, like bacteria, algae, sperm or the parasite trypanosome, which typically move by rotating or beating a flagellum. In the second half, we will discuss cells which crawl or glide on surfaces, like human tissue cells, cancer cells, amoebae or malaria parasites. Every participant will receive a description of his/her subject and some relevant papers. While preparing your talk, you can meet with the organizers, who will answer questions and give feedback. The talks are then given typically in groups of two or three students, and in three or four blocks in January 2026. This will be counted as obligatory seminar for bachelor students (PSEM, 2+1 CPs) and a mark will be reported for your transcript. For physics master students, you can get 6 CPs for an obligatory master seminar (MVSem), but for this you also have to hand in a 15-20 pages written paper on your subject after the seminar is finished. Similar rules apply for students from other faculties. Active participation during discussions is expected.

Stochastic dynamics is the study of dynamical processes that occur on sufficiently large time scales such that the fast microscopic degrees of freedom can be effectively described by stochastic noise. The paradigmatic case is the movement of a Brownian particle (e.g. a  <mehr>

Stochastic dynamics is the study of dynamical processes that occur on sufficiently large time scales such that the fast microscopic degrees of freedom can be effectively described by stochastic noise. The paradigmatic case is the movement of a Brownian particle (e.g. a plastic bead of micrometer dimensions) in a fluid (e.g. water). Then the particle trajectory performs a random walk effected by the random forces exerted by the molecules of the fluid ("Brownian dynamics"). The mathematical tool required to describe this situation is a stochastic differential equations, also known as the Langevin equation. Alternatively one can use the Fokker-Planck equation, which is a partial differential equation for the probability density p(x,t) of the particle to be at position x at time t. For stochastic processes with jumps, the appropriate equation is the master equation. Stochastic dynamics has many applications in physics, chemistry, biology and economics. In this course, we will provide an introduction into the fundamentals of this field, in particular to the three fundamental types of equations. We also will discuss how the classical theory can be extended to active systems, in particular the Active Brownian Particle (ABP) model for self-propelled objects, like e.g. bacteria. Applications will be chosen from the fields of (active) soft matter, biophysics, finance and machine learning. We will also discuss the path integral approach to stochastic processes as well as recent developments in non-equilibrium physics and stochastic thermodynamics. The course is designed for physics students in advanced bachelor and beginning master semesters, but students from other disciplines are also welcome. It will be given in English. A basic understanding of physics and differential equations is sufficient to attend. A background in statistical physics is helpful, but not required. The course takes place every Monday from 2.15 - 3.45 pm in lecture hall HS2 in INF 308 (Hörsaalgebäude). Every second week on Monday afternoons after the lecture the solutions to the exercises will be discussed in a tutorial. If you attend the course and solve more than 60 percent of the exercises, you earn 4 credit points. To get a grade, you have to pass an oral examination. A script is available from earlier versions of this course.

Continuum mechanics describes the movement of matter under force on a scale that is sufficiently large as to use continuous variables. Therefore continuum mechanics is an example of a classical field theory, like electrodynamics. Continuum mechanics is further subdivide  <mehr>

Continuum mechanics describes the movement of matter under force on a scale that is sufficiently large as to use continuous variables. Therefore continuum mechanics is an example of a classical field theory, like electrodynamics. Continuum mechanics is further subdivided into hydrodynamis (flow) and solid mechanics (deformation). Both fields are connected by the theory of viscoelasticity (flow of complex fluids, rheology). After a general introduction, we will focus on solid mechanics, but also cover some viscoelasticity. We also will discuss modern applications of continuum mechanics, in particular to the questions of how to deal with growth and active stresses in biological systems. Finally we will also cover numerical approaches to continuum mechanics, namely the finite element method (FEM) and its implementation in open source code like Fenics. Major subjects in this part will be 1. scalar elasticity 2. material laws and constitutive equations 3. viscoelasticity 4. Hookean solid, Newtonian fluid, Maxwell model, Kelvin-Voigt model 5. complex modulus 6. stress and strain tensors 7. Lagrangian versus Eulerian coordinates 8. geometrical and material non-linearities 9. linear elasticity theory 10. rods and plates 11. contact problems 12. non-linear elasticity theory, neo-Hookean solid 13. fracture and plasticity 14. thermoelasticity 15. active stresses 16. growth The course is designed for physics students in advanced bachelor and beginning master semesters, but students from other disciplines are also welcome. It will be given in English. A basic understanding of physics and differential equations is sufficient to attend. The course takes place every Wednesday from 11.15 - 13.00 at Philosophenweg 12. Every second week on Monday afternoons at 4 pm the solutions to the exercises will be discussed in a tutorial. If you attend the course and solve more than 60 percent of the exercises, you earn 4 credit points. To get a grade, you have to pass an oral examination. A script is available from earlier versions of this course.

- Basic concepts of numerical simulations, continuous and discrete simulations - Discretization or ordinary differential equations, integration schemes of different order - N-Body problems, molecular dynamics, collisionless systems - Discretization of partial differenti  <mehr>

- Basic concepts of numerical simulations, continuous and discrete simulations - Discretization or ordinary differential equations, integration schemes of different order - N-Body problems, molecular dynamics, collisionless systems - Discretization of partial differential equations - Finite element and finite volume methods - Lattice methods - Adaptive mesh refinement and multi-grid methods - Matrix solvers and FFT methods - Monte Carlo methods, Markov Chains, applications in statistical physics

https://hci.iwr.uni-heidelberg.de/content/optimization-machine-learning-WiSe25 Attention! The webpage above is down (file server failure) and it may take a while to repair it. The most important information is provided therefore here: Lectures: Sep. 30 - Oct. 10; 9:00  <mehr>

https://hci.iwr.uni-heidelberg.de/content/optimization-machine-learning-WiSe25 Attention! The webpage above is down (file server failure) and it may take a while to repair it. The most important information is provided therefore here: Lectures: Sep. 30 - Oct. 10; 9:00-16:00 (exact time schedule within this slot) in Mathematikon B, R.B128 To get there: Entrance from Berlinerstr., near the bakery. Press HCI/IWR/CVL button, the door will open. Go to the 3rd floor (3 OG) Programming exercises: Weakly, on Tue 11:00, during WiSe 25/26. Attending is recommended, but not mandatory. ## Registration Please register for the course also in Muesli (https://muesli.mathi.uni-heidelberg.de/lecture/view/2049) -- this is our way to communicate with you. ## Exam - **Format:** Oral - **Eligibility:** At least 50% of the total points for programming exercises - **Date and Time:** Flexible. We typically use a doodle poll to accommodate both your schedule and ours. We usually offer several time slots: one to three in February and another one to three between March and May. ## Table of Contents - **Linear and Integer Linear Programs (ILPs) and Their Geometry:** Convexity, polyhedra, LP relaxation - **Linearization:** From quadratic to linear integer objectives and constraints; Fortet’s and Sherali–Adams methods - **Convex Functions:** Definitions and basic properties - **Lagrangian Duality:** Subgradients, optimality conditions, relation to LP relaxation, reduced costs - **Scalable Convex (Dual) Optimization Techniques:** Gradient, subgradient, coordinate descent, smoothing methods - **ILP Solvers Overview:** How off-the-shelf solvers work—branching and cutting, presolving, simplex method for LPs - **Scalable Primal Heuristics:** Greedy construction, local search, optimal recombination, memetic algorithms - **Quadratic Pseudo-Boolean Optimization:** Algorithms, applications, role of submodularity - **Learning Parameters of Combinatorial Problems from Data:** Bayesian optimization, structured SVMs, black-box differentiation, and recent advances **Lecture repository** https://heibox.uni-heidelberg.de/d/4cd2a84ae2084025a84c/ Password will be send via Muesli/given at the lecture More information can be found at the webarchive page of the lecture: https://web.archive.org/web/20250521210440/https://hci.iwr.uni-heidelberg.de/content/optimization-machine-learning-WiSe25

*** Formalitäten: Tutor (Hauptanlaufstelle für Fragen): Friedrich Feiden: johann-friedrich.feiden@iwr.uni-heidelberg.de Registrierung: Moodle: https://moodle.uni-heidelberg.de/course/view.php?id=28554 Voraussetzungen: Keine verpflichtenden Vorlesungen, aber es emp  <mehr>

*** Formalitäten: Tutor (Hauptanlaufstelle für Fragen): Friedrich Feiden: johann-friedrich.feiden@iwr.uni-heidelberg.de Registrierung: Moodle: https://moodle.uni-heidelberg.de/course/view.php?id=28554 Voraussetzungen: Keine verpflichtenden Vorlesungen, aber es empfiehlt sich, Machine-Learning-Background zu haben. Zum Beispiel: Fundamentals of Machine Learning oder Ähnliches. Prüfung: Schriftliche Klausur Leistungspunkte: 6 LP Anrechenbarkeit (ohne Garantie): Physics, MSc., Angewandte Informatik, MSc. Scientific Computing Solange Sie sich rechtzeitig (vor Beginn der ersten Vorlesung) anmelden, kann normalerweise an der Vorlesung teilgenommen werden. Weitere Informationen finden Sie hier: https://hci.iwr.uni-heidelberg.de/content/computer-vision (Die Webseite befindet sich momentan unter Wartung und ist daher langsam)

https://hci.iwr.uni-heidelberg.de/content/optml-seminar-WiSe25 Attention! The webpage above is down (file server failure) and it may take a while to repair it. The most important information is provided therefore here: ## Topic: Bayesian Optimization Bayesian optimi  <mehr>

https://hci.iwr.uni-heidelberg.de/content/optml-seminar-WiSe25 Attention! The webpage above is down (file server failure) and it may take a while to repair it. The most important information is provided therefore here: ## Topic: Bayesian Optimization Bayesian optimization is a well-established and powerful framework for tuning parameters and hyperparameters in settings where evaluating the objective function is expensive, time-consuming, or noisy. It is particularly valuable when the search space is continuous or high-dimensional, and gradient information is unavailable or unreliable. By modeling the objective function probabilistically—typically using Gaussian processes or other surrogate models—Bayesian optimization balances exploration (searching uncertain regions) and exploitation (refining promising areas), often achieving near-optimal results with far fewer evaluations than exhaustive search. Its applications span a broad spectrum: - Machine learning – hyperparameter tuning for models like neural networks, SVMs, and gradient boosting. - Engineering – optimizing design parameters in simulations or experiments. - Robotics – tuning control policies where real-world trials are costly. - Scientific computing – calibrating complex physical models. - Finance and operations research – optimizing trading strategies or decision processes. Numerous ready-to-use software packages, such as Spearmint, GPyOpt, scikit-optimize, and Ax, make these techniques widely accessible. The papers we discuss in the **Tutorials** provide a deep dive into the theoretical foundations, algorithmic variations, and practical considerations of Bayesian optimization, enabling you to apply it effectively to diverse real-world problems. ## Participation: Thursdays, 11:00-13:00 in Mathematikon B, R.B128 (3 OG) The first seminar takes place on Thu, Oct 16. Make sure to participate! To get there: Entrance from Berlinerstr., near the bakery. Press HCI/IWR/CVL button, the door will open. Go to the 3rd floor (3 OG) ## Registration Please register for the course also in Muesli (https://muesli.mathi.uni-heidelberg.de/lecture/view/2054) -- this is our way to communicate with you. ## Papers to select from: https://heibox.uni-heidelberg.de/f/aac72551d88644cb8d07/?dl=1 ## Seminar repository: https://heibox.uni-heidelberg.de/d/cafa3048b6cc48e7a3f1/ The password will be sent via Muesli ## Contact: - Add '[SemOp]' to the subject, otherwise your email may get lost - bogdan.savchynskyy@iwr.uni-heidelberg.de

As most of the radiation we receive from galaxies is star light, we can use it to measure and study their properties. These lectures aim at showing how much we can learn about galaxy evolution from the study of stellar populations in galaxies (young to old stellar clust  <mehr>

As most of the radiation we receive from galaxies is star light, we can use it to measure and study their properties. These lectures aim at showing how much we can learn about galaxy evolution from the study of stellar populations in galaxies (young to old stellar clusters, field stars, resolved and integrated stellar populations). We will review the methods commonly used in this respect, all resting on our understanding of stellar evolution, and discuss the results obtained when we apply them to observational data, such as multi-wavelength photometry and spectroscopy.

C1: - Basic properties of fluids and plasmas in astrophysics Ideal versus dissipative fluids Euler and the Navier-Stokes equations Compressible, weakly compressible and incompressible fluid flows Magnetohydrodynamics C2: Numerical methods in hydrodynamics The equat  <mehr>

C1: - Basic properties of fluids and plasmas in astrophysics Ideal versus dissipative fluids Euler and the Navier-Stokes equations Compressible, weakly compressible and incompressible fluid flows Magnetohydrodynamics C2: Numerical methods in hydrodynamics The equations in the finite space Conditionally versus unconditionally stable numerical schemes Explicit & implicit formulation Preconditioning techniques and defect-correction iteration procedure C3: Introduction to programming and computer-solving of simple equations C4: Introduction to General Relativity & Relativistic Cosmology Derivation of the relativistic & general relativistic Euler and Navier-Stokes equations Dynamics of the expanding univbbbberse Basic concepts in modern cosmology: Black holes, dark matter, dark energy, inflation C5: Numerical aspects of relativistic Cosmology: UNIMOUN

Stellar structure, evolution and explosions, including practical tutorials based on the MESA stellar evolution code. In the first half of the term, teaching will be via classical blackboard-style lectures that lay the foundation of stellar evolution. In contrast to cl  <mehr>

Stellar structure, evolution and explosions, including practical tutorials based on the MESA stellar evolution code. In the first half of the term, teaching will be via classical blackboard-style lectures that lay the foundation of stellar evolution. In contrast to classical lectures on stellar astrophysics, the second half is a practical course where students employ the stellar evolution code MESA to study the evolution and final fates of low-, intermediate- and high-mass stars. This allows us to follow the evolution of stars interactively, enabling us to investigate stellar structures in great detail. For the practical part, a laptop is required (all operating systems are supported). All course materials will be provided online.

This is a five day block course with lectures in the morning and practical hands-on exercises in the afternoon. We will learn the basic technique to use GPU (graphical processing units, graphics cards) for numerical accelerated computing at the example of CUDA - an exte  <mehr>

This is a five day block course with lectures in the morning and practical hands-on exercises in the afternoon. We will learn the basic technique to use GPU (graphical processing units, graphics cards) for numerical accelerated computing at the example of CUDA - an extension of the C programming language, which is used for the NVIDIA GPU accelerated supercomputer to be used in our course. More general approaches for other systems will be discussed. Concepts of parallel programming are introduced. GPU accelerated parallel computing is a technique, which is now widely used in computational physics and astrophysics. Many supercomputers of EuroHPC Petascale systems use GPU. Topics: Parallel Computing, GPU Hardware, Elements of CUDA Language, Data Transfer, Vector and Matrix Operations, Simple Application for N-Body Problem.

- Lessons learned from gravitational wave sources. - Compact object formation from stars and binary stars. - Dynamics of compact objects in dense star clusters. - Merger rate density evolution of binary compact objects across cosmic time. - Observations and models of do  <mehr>

- Lessons learned from gravitational wave sources. - Compact object formation from stars and binary stars. - Dynamics of compact objects in dense star clusters. - Merger rate density evolution of binary compact objects across cosmic time. - Observations and models of dormant compact objects. - Numerical models of compact-object populations.

The non-thermal radiation that we observe from astrophysical sources points to the presence of very energetic particles (electrons or protons) within these sources. This seminar aims to give insights into source characteristics and processes, facilitating efficient part  <mehr>

The non-thermal radiation that we observe from astrophysical sources points to the presence of very energetic particles (electrons or protons) within these sources. This seminar aims to give insights into source characteristics and processes, facilitating efficient particle acceleration. A specific focus will be given to physical concepts and astrophysical contexts, including a discussion of selective highlight results.

- Observable signatures of black holes and binaries thereof, calculations of predictions in GR - Post-Newtonian approximation - 3+1, Numerical Relativity - Black Hole images with Very-Long baseline Interferometry (EHT): theory and data analysis - Accreting black holes,  <mehr>

- Observable signatures of black holes and binaries thereof, calculations of predictions in GR - Post-Newtonian approximation - 3+1, Numerical Relativity - Black Hole images with Very-Long baseline Interferometry (EHT): theory and data analysis - Accreting black holes, GRMHD - Bayesian Methods - Simulated data generation and utilization: eht-imaging, PyCBC, Bilby, Themis

In this seminar we select a number of recent science advances in environmental physics and associated subjects. Talks are prepared about these subject in small groups and presentations are followed by discussions about all scientific writting and sometimes political asp  <mehr>

In this seminar we select a number of recent science advances in environmental physics and associated subjects. Talks are prepared about these subject in small groups and presentations are followed by discussions about all scientific writting and sometimes political aspects of the discussed science advances.

Der dreiwöchige Blockkurs zur Einführung in die Astronomie (PASTRO) für Lehramtstudierende der Physik an Gymnasien an der Universität Heidelberg wird am Haus der Astronomie durchgeführt (zu erreichen mit den Buslinien 30 und 39 oder mit der Bergbahn). Er findet imm  <mehr>

Der dreiwöchige Blockkurs zur Einführung in die Astronomie (PASTRO) für Lehramtstudierende der Physik an Gymnasien an der Universität Heidelberg wird am Haus der Astronomie durchgeführt (zu erreichen mit den Buslinien 30 und 39 oder mit der Bergbahn). Er findet immer im Wintersemester in der vorlesungsfreien Zeit im Februar oder März jeweils von 9:30-12:30 Uhr statt. Behandelte Themen sind: Größenordnungen des Kosmos, Himmelsmechanik und Orientierung am Sternhimmel, Teleskoptechnik und Spektroskopie, das Sonnensystem, die Sonne, Sterne, Exoplaneten, die Milchstraße und andere Galaxien und Kosmologie.

Strahlung und Strahlungstransport: • Anwendungen Planck´sches Strahlungsgesetz, reale Spektren von Sonne und langwelliger terrestrischer Ausstrahlung, Kirchhoff, Stefan-Boltzmann • Strahlungstransport: Absorption (Lambert-Beer), Emission und Streuung (Rayleigh, Mie  <mehr>

Strahlung und Strahlungstransport: • Anwendungen Planck´sches Strahlungsgesetz, reale Spektren von Sonne und langwelliger terrestrischer Ausstrahlung, Kirchhoff, Stefan-Boltzmann • Strahlungstransport: Absorption (Lambert-Beer), Emission und Streuung (Rayleigh, Mie), Schwarzschild-Gleichung • Energiehaushalt der Erde und Treibhauseffekt; Strahlungsantrieb, Klimasensitivität und Feedbacks Fluiddynamik: • Einführung in die geophysikalische Fluiddynamik, Euler/Lagrange • Navier-Stokes Gleichung im rotierenden System (Coriolis) • Dimensionsanalyse (für synoptische atmosphärische und ozeanische Strömungen, Seen, Grundwasser) - einfache Lösungen der Navier-Stokes Gleichung • Phänomenologie der Turbulenz Transportprozesse: • Brown´sche Bewegung, molekulare und turbulente Diffusion (eddy correlation); Advektions-Diffusionsgleichung • Grenzschichten, Austausch Ozean-Atmosphäre Klimasystem: • Die Kompartimente des Klimasystems (Atmosphäre, Ozean, Kryosphäre, hydrologischer Kreislauf) • Kohlenstoffkreislauf, Emissionen, Szenarien, Treibhausgasbudgets • Grundlagen der Klimamodellierung, Modelltypen, Klimapro-jektionen • Klimaschutz und Klimaanpassung, Nachhaltige Entwicklung

Mechanik (50 %) • Mechanik des Massenpunktes • Mechanik des starren Körpers • Mechanik deformierbarer Körper Thermodynamik (40 %) • Phänomenologie der Wärmelehre • Zustandsänderungen • Kinetische Gastheorie • Reale Gase und Phasenübergänge Transport  <mehr>

Mechanik (50 %) • Mechanik des Massenpunktes • Mechanik des starren Körpers • Mechanik deformierbarer Körper Thermodynamik (40 %) • Phänomenologie der Wärmelehre • Zustandsänderungen • Kinetische Gastheorie • Reale Gase und Phasenübergänge Transportprozesse (10 %) • Ströme, Kontinuitätsgleichung, Diffusion, Wärmeleitung

Trajektorie, Geschwindigkeit, Beschleunigung • Newton’sche Axiome • Gewöhnliche Differentialgleichungen, insbesondere lineare (†) • Harmonischer Oszillator • Taylorreihe, Beschreibung durch komplexe Zahlen (†) • Systeme von Massenpunkten • Impuls- und  <mehr>

Trajektorie, Geschwindigkeit, Beschleunigung • Newton’sche Axiome • Gewöhnliche Differentialgleichungen, insbesondere lineare (†) • Harmonischer Oszillator • Taylorreihe, Beschreibung durch komplexe Zahlen (†) • Systeme von Massenpunkten • Impuls- und Drehimpulserhaltung • Differential- und Integralrechnung reeller Funktionen mehrerer Veränderlicher, Vektorfelder, krummlinige Koordinatensysteme (†) • Konservatives Kraftfeld • Stokes’scher Satz (†) • Matrix-Gruppen und -Darstellungen am Beispiel der Drehgruppe, Tensoren (†) • Galilei-Transformationen • Scheinkräfte • Allgemeines Zentralkraftproblem und Keplerproblem • Stellardynamik (*) • Gravitation ausgedehnter Körper • Gauß’scher Satz (†) • Zusammenfassung: Vektoranalysis und Integralsätze im 3-dim. Raum (†) • Zerfalls- und Stoßprozesse, Wirkungsquerschnitt • Gekoppelte Oszillatoren, schwingende Saite und Membran • Makromoleküle (*) • Strings (in Teilchenphysik und Kosmos) (*) • Mechanische Ähnlichkeit und Virialsatz Die mit (†) gekennzeichneten Teile markieren die Mathematikinhalte, die einen wesentlichen Teil der Vorlesung ausmachen; die mit (*) gekennzeichneten Inhalte repräsentieren moderne Aspekte und können je nach Dozent variieren

• Maxwellsche Gleichungen • Elektrostatik und Magnetostatik • Multipolentwicklung, Kugelflächenfunktion (†) • Vollst. Funktionensysteme, Fourieranalyse, Fourierintegral (†) • Maxwellsche Gleichungen in Materie • Spezielle Relativitätstheorie • Kovari  <mehr>

• Maxwellsche Gleichungen • Elektrostatik und Magnetostatik • Multipolentwicklung, Kugelflächenfunktion (†) • Vollst. Funktionensysteme, Fourieranalyse, Fourierintegral (†) • Maxwellsche Gleichungen in Materie • Spezielle Relativitätstheorie • Kovariante Formulierung, Eichinvarianz • Lagrangedichte-Elektrodynamik • Formulierung der E-Dynamik mit Differentialformen, höhere Form-Felder (*) • Teilchen in Wechselwirkung mit Feldern • Wellen • Wellen in Materie • Felder bewegter Ladungen • Greensfunktionen, Funktionentheorie (†) • Dipolstrahlung • Thomson-Streuung und Synchrotronstrahlung • Geometrische Optik • Polyelektrolyte, DNA (*) Die mit (†) gekennzeichneten Teile markieren die Mathematikinhalte, die einen wichtigen Teil der Vorlesung ausmachen; die mit (*) gekennzeichneten Inhalte repräsentieren moderne Aspekte und können je nach Dozent variieren

Die Vorlesung "Moderne Physik I für das Lehramt" bietet eine Einführung in die wichtigsten Felder der Physik, die im 20. und 21. Jahrhundert entwickelt wurden. Der Schwerpunkt liegt auf dem Wechselspiel zwischen Experiment und physikalischem Modell, während die theor  <mehr>

Die Vorlesung "Moderne Physik I für das Lehramt" bietet eine Einführung in die wichtigsten Felder der Physik, die im 20. und 21. Jahrhundert entwickelt wurden. Der Schwerpunkt liegt auf dem Wechselspiel zwischen Experiment und physikalischem Modell, während die theoretischen Konzepte den Gegenstand der Vorlesung "Modernen Physik II für das Lehramt" bilden. Die "Moderne Physik I" umfasst die Themenbereiche - Materiewellen - Photonen - Quantenphysik und Schrödingergleichung - Atome und Spektroskopie - Quantenstatistik - Moleküle - Festkörper - Kerne und Streuung - Elementarteilchen Die Vorlesung richtet sich an Studierende im BSc-Studiengang Physik mit Lehramtsoption und Physik mit 50%-Fachanteil.

- Präsentation von Unterrichtsthemen durch einen Seminarteilnehmer - Diskussion der Präsentation durch die Teilnehmer - Praktikum in kleinen Gruppen zu Versuchsaufbauten und zur Nutzung von Computern im Unterricht. Themengebiete: Elektrische und magnetische Felder  <mehr>

- Präsentation von Unterrichtsthemen durch einen Seminarteilnehmer - Diskussion der Präsentation durch die Teilnehmer - Praktikum in kleinen Gruppen zu Versuchsaufbauten und zur Nutzung von Computern im Unterricht. Themengebiete: Elektrische und magnetische Felder, Schwingungen und Wellen, Quanten- und Atomphysik Lehr- und Lernformen in Seminar und Praktikum: Aufbau und Demonstration von Versuchen (mit praktischen Übungen) und Einsatz von Computern im Unterricht

In dieser Vorlesung für Neugierige, sprich: für Hörer*innen aller Fachbereiche, beschäftigen wir uns mit dem aktuellen Stand der Erforschung sowohl unseres Sonnensystems als auch seiner entfernten Verwandten: der Exoplaneten, die andere Sterne umkreisen als die Sonn  <mehr>

In dieser Vorlesung für Neugierige, sprich: für Hörer*innen aller Fachbereiche, beschäftigen wir uns mit dem aktuellen Stand der Erforschung sowohl unseres Sonnensystems als auch seiner entfernten Verwandten: der Exoplaneten, die andere Sterne umkreisen als die Sonne. Wir schauen uns dazu nicht nur die Eigenschaften der bislang bekannten Planeten und Kleinkörper an, sondern beschäftigen uns auch mit Beobachtungsmethoden sowie mit der Frage, wie unser Sonnensystem und andere Sonnensysteme überhaupt entstanden sind.

Ausgewählte Themen aus der Mechanik, Elektrizitätslehre, Optik und Strahlenphysik werden in 6 Versuchen (Federpendel, Wheatstone´sche Brücke, RC-Glied, optische Abbildungen, Spektralfotometrie, Röntgenabsorption) inhaltlich vertieft. Dabei wird der Umgang mit physi  <mehr>

Ausgewählte Themen aus der Mechanik, Elektrizitätslehre, Optik und Strahlenphysik werden in 6 Versuchen (Federpendel, Wheatstone´sche Brücke, RC-Glied, optische Abbildungen, Spektralfotometrie, Röntgenabsorption) inhaltlich vertieft. Dabei wird der Umgang mit physikalischen Messgeräten, die Durchführung und Protokollierung von Experimenten sowie die Auswertung und graphische Darstellung von Messungen mit Fehlerbetrachtung erlernt und geübt.