Summer Term 2026

1300110401
Anmeldung ab 31.05.2026 möglich
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Content

DAY 1: short summary of python basics
DAY 2: classes and object oriented programming
DAY 3: accuracy & speed (general, not python only), parallelization & regular expressions
DAY 4: pandas, scipy for ordinary differential equations
DAY 5: some examples of machine learning (ML)

1300111201
Anmeldung ab 01.03.2026 möglich
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Content

• Galaxien: Aufbau und Eigenschaften normaler Galaxien und der
Milchstraße; Skalierungsrelationen; Spektren; Leuchtkraftfunktion;
kosmologische Entwicklung der Sternentstehung; schwarze Löcher in
Galaxien, aktive Galaxien und ihre Eigenschaften; vereinheitlichte Modelle
• Galaxienhaufen: optische Eigenschaften und Haufengas;
hydrostatisches Modell; Skalierungsrelationen; Häufigkeit und Entwicklung
• Gravitationslinsen: Grundlagen, Massenverteilung in Galaxien und
Galaxienhaufen; kosmologischer Linseneffekt
• Großräumige Verteilung von Galaxien und Gas: Strukturen in der
räumlichen Galaxienverteilung; Rotverschiebungseffekte; Biasing; Lyman-α-
Wald; Gunn-Peterson-Effekt und kosmische Reionisation
• Kosmologische Rahmenbedingungen: Friedmann-Lemaître-Modelle,
kosmologisches Standardmodell; Ursprung und Entwicklung von Strukturen;
Halos aus dunkler Materie; Entstehung von Galaxien

1300112102
Anmeldung ab 01.03.2026 möglich
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Content

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

Goal

Upon completion of the lecture, students are able to apply this knowledge to a wide range of different areas of modern astrophysics and can solve complex problems in this field. They are familiar with concepts from different areas of theoretical physics relevant for astrophysics and they can apply mathematical techniques for solving questions arising in astrophysical situations.

1300112105
Anmeldung ab 01.03.2026 möglich
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Content

* Optical telescopes: optics and characteristic parameters, telescope types, diffraction, resolution, aberrations and corrections, applications
* Optical detectors: detector types, semiconductors and CCDs, quantum efficiency, readout, noise sources, multi-chip cameras, applications
* Imaging: techniques, photometry, data reduction and characterisation, signal-to-noise
* Atmospheric effects and corrections: extinction, turbulence, seeing, active and adaptive optics, laser guide stars, applications
* Spectroscopy: types of spectrographs and spectrometers, dispersive elements, integral field units, data reduction and characterisation, applications
* Infrared astronomy: detectors and techniques, sources, applications
* Radio astronomy: detectors and instrumentation, synthesis techniques, types of radiation and sources, applications
* Astronomical interferometry: wavelength regimes, instrumentation, applications
* X-ray and gamma-ray astronomy: detectors and instrumentation, types of radiation and sources, applications
* Astroparticle physics: neutrino and Cherenkov detectors, sources and acceleration mechanisms of neutrinos and cosmic rays, applications
* Gravitational-wave astronomy: detection, sources, applications.
* In-situ exploration and remote sensing.

Goal

After completing this course, the students have firm insight into the concepts, technologies, and the underlying physical principles and limitations of modern observational techniques along with scientific applications. They have knowledge of basic detector designs for different types of radiation and particles. They understand the environmental influence on astronomical observations. They are able to select and judge the adequate observational technique for studying an astronomical object of interest.

1300112200
LV-Anmeldung möglich
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Content

- Astronomical basics: astronomical observations, methods and instruments;
orientation at the celestial sphere; fundamental terms of electromagnetic
radiation; distance determination, Earth-Moon system; terrestrial and gas
planets, small bodies; extra-solar-planets
- Inner structure of stars: state variables, stellar atmospheres and line
spectra; Hertzsprung-Russell diagram; fundamental equations, energy
transfer and opacity; nuclear reaction rates and tunnelling; nuclear fusion
reactions
- Stellar evolution: Main sequence, giants and late phases; white dwarfs,
Chandrasekhar limit; supernovae, neutron stars, Pulsars and supernova
remnants; binaries and multiple systems; star clusters
- Interstellar medium: cold, warm, hot gas phases dust, cosmic rays,
magnetic fields; ionization and recombination, Stroemgren spheres; heating
and cooling; star formation, matter cycle, chemical enrichment
- Galaxies: Structure and properties of normal galaxies and the Milky Way;
scaling relations; integrated spectra, luminosity function; cosmological
evolution of star formation; Black Holes in galaxies, active galaxies and their
properties, unified models
- Galaxy clusters: optical properties and cluster gas; hydrostatic model;
scaling relations; number densities and evolution
- Gravitational lensing: Concepts, mass distribution in galaxies and galaxy
clusters; cosmological lensing effect
- Large scale distribution of galaxies and gas: Structure in the spatial galaxy
distribution; redshift effects; biasing; Lyman-α-forest; Gunn-Peterson effect
and cosmic reionization
- Cosmology: Friedmann-Lemaître models, cosmological standard model;
origin and evolution of structures; halos of Dark Matter; Formation of
galaxies

Goal

The students have gained basic knowledge and understanding of astronomical objects, measuring units and methods, and the relevant astrophysical processes. They have a firm grasp of the fundamental interrelations of objects and processes on different scales. They are able to reproduce the basic features of the modern world view including the physical reasoning, and connect astronomical and astrophysical phenomena to previously acquired knowledge in physics.

1300112202
Anmeldung ab 01.03.2026 möglich
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Content

If there are any problems registering for this module, please sent an Email to jordan@ari.uni-heidelberg.de.

Lecture: Thursdays, 14:15-15:45
Location: 
Philosophenweg 12, Kleiner Hörsaal

Tutorial Group 1: Thursday, 15:45-17:15 (Kleiner Hörsaal)
Tutorial Group 2: Thursday, 15:45-17:15 (Übungsraum 61, Erdgeschoss, Philosophenweg 12)

Do not mind to which exercise group you register. We will ensure that both exercise groups are approximately equally large. At the beginning of the semester, we can make adjustments if you want to collaborate with a specific person in a different group.  

This module consists of the lecture, the tutorials and the seminar.  

Exercises will be submitted via the "Übungsgruppensystem" in groups of two or three.  

To excel in the module MVAstro2 "Stellar Astrophysics," it is essential to complete an adequate number of exercises and attend the tutorials. Merely submitting exercises through the Übungsgruppensystem is insufficient; you must also be prepared to present your solutions during the tutorial sessions.  

Credit points cannot be awarded solely based on participation in the written exam; attendance at the tutorials is also required to receive credit.

Preliminary Schedule:
17.4.25: Introduction (Stefan Jordan)
24.4.25: Stellar structure 1 (Stefan Jordan)
01.5.25: May 1, holiday
02.5.25: Stellar structure 2 (Stefan Jordan)
08.5.25: Stellar structure 2 (Stefan Jordan)
15.5.25: Stellar structure 3 (Stefan Jordan)
22.5.25: Energy transport (Stefan Jordan)
29.5.25: Himmelfahrt, holiday
05.6.25: Energy production (Stefan Jordan)
12.6.25: Main sequence (Stefan Jordan)
19.6.25: Fronleichnam, holiday
26.6.25: Stellar evolution to the AGB (Stefan Jordan)
03.7.25: Late stages of stellar evolution (Stefan Jordan)
10.7.25: Stellar pulsations, rotation, magnetic fields (Stefan Jordan)
17.7.25: Stellar spectra (Stefan Jordan)
24.7.25: Written exam (Stefan Jordan)

Seminar:
 2-3 full days between July 28 and  Aug 1, 2025

The communication will be performed via the Übungsgruppensystem. 
https://uebungen.physik.uni-heidelberg.de/v/1992

1300112203
Anmeldung ab 01.04.2026 möglich
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Content

Module Part 1: Lecture “Galactic and Extragalactic Astronomy” (4 CP)
- Galaxy types and classification, correlations with physical properties,
stellar populations, population synthesis, chemical evolution concepts and
models (2);
- Milky Way (3): halo, bulge / pseudo bulge, central black hole, thin and
thick disk, spiral structure, star clusters, star formation history and chemical
enrichment, formation scenarios (e.g., Eggen-Lynden-Bell-Sandage), multi-
phase interstellar medium, dust, Galactic fountain, satellites, substructure
problem, Local Group;
- Spiral and elliptical galaxies (4): Surface photometry, profiles, origin of
spiral structure, mass measurement methods, rotation / velocity dispersion,
Tully-Fisher / Faber-Jackson relation, fundamental plane, super massive
black holes, active galaxies;
- Groups and clusters (3): morphology-density relation etc., mass
measurements, gravitational lensing, luminosity functions, interactions;
intergalactic gas; dark matter;
- Growth of structure (3): Origin of matter and elements, large-scale-
structure formation, large-scale matter distribution, redshift surveys, weak
lensing, galaxy formation and evolution, red / blue sequence, downsizing,
scaling relations, Butcher-Oemler effect, cosmic star formation history,
Lyman alpha forest, high-redshift universe, reionization, problems in galaxy
formation.

Module Part 2: Seminar (2 CP)
- Presentations and discussions on selected topics in Galactic and
extragalactic astronomy

Goal

When successfully completing this course, the students are able to report on the properties of the wide range of galaxy types, understand their origin and evolution, and can elucidate the physical factors governing their evolution. They understand the main physical processes that shape the appearance of galaxies and galaxy clusters. They know about the connection between cosmological structure formation and the populations of visible objects. They have gained experience in applying dimensional and scaling arguments to estimate the relative importance of different physical processes.

1300112204
Anmeldung ab 01.03.2026 möglich
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Content

- Friedmann-Lemaître-cosmologies: cosmological redshift, parameter
set, effects of curvature and of the cosmological constant, Hubble
expansion and Cepheid-measurements
- Age of the Universe: age from the cosmological model, radiometric
dating and nuclear cosmochronology, age of the oldest cosmic
objects
- Distance-redshift relation of standard candles: distance-redshift
relations, calibration of supernovae, acceleration and dimming,
determination of densities and equations of state, evidence for dark
energy
- Abundance of chemical elements: thermal evolution, big bang
nucleosynthesis, other modes of nucleosynthesis (stellar, spallation,
explosive), reaction chains, element abundances
- Cosmic microwave background: formation of atoms, simplified
description of temperature anisotropies, measurement results and
conclusions from them (in particular spatial flatness), secondary
anisotropies
- Cosmic structures: linear growth, need for (nonbaryonic) dark
matter, large-scale distribution of galaxies, cosmic web
- Formation of galaxies: gravitational collapse, flat rotation curves
and virial equilibria, need for dark matter, abundance of haloes
- Gravitational lensing: gravitational light deflection, lens equation,
weak and strong lensing, measurements of lensing effects and their
inversion

Goal

In this course, students gain fundamental understanding of the cosmological standard model and the cosmological evolution, including the impact of the basic observations and the connection to the physical framework. They gain a solid overview of the empirical basis of modern cosmology.

1300112304
Zu dieser LV existiert kein Anmeldeverfahren

1300112306
Anmeldung ab 01.03.2026 möglich
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Content

Besprechung von Themen der nicht-thremischen Astrophysik. Insbesondere theoretische Grundlagen von Teilchenbeschleunigung und Strahlung, sowie Interpretation von Beobachtungen diverser Quellen (u.a. Supernovaüberreste, aktive Galaxien, Binärsysteme).

Goal

Das Verstehen und Interpretieren von Beobachtungsdaten im Bezug zur Quelle

1300112307
Zu dieser LV existiert kein Anmeldeverfahren

Content

Vorgestellt werden aktuelle Fragestellungen der Forschung und zur Zeit laufende 
oder in Planung befindliche Forschungsprojekte. 
Themen sind: Schwarze Löcher (stellar, intermediär, supermassiv), Gravitationslinsen, Gravitationswellen, Dunkle Materie, etc.

Termine und Themen sind auf folgender Webseite zu finden:
https://blog.mpifr-bonn.mpg.de/silkebritzen/vorlesung-universitat-heidelberg/

Die Veranstaltung findet online statt und beginnt am 25.04. um 14 Uhr.

Der zoom-link lautet:
https://eu02web.zoom-x.de/j/9084381833?pwd=YU1UdWJRa1BzajF4Tyt4YVlSdU1BUT09 
Meeting ID: 908 438 1833

Goal

Mein Ziel ist es, Interesse an aktuellen Fragen der Forschung zu wecken und über  spannende Forschungsprojekte zu informieren. Des Weiteren möchte ich den  Studenten Informationen über den Alltag in der Forschung liefern und Möglichkeiten für Master- und Doktorarbeiten aufzeigen.

1300112308
Anmeldung ab 01.04.2026 möglich
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1300112309
Zu dieser LV existiert kein Anmeldeverfahren

1300112310
Zu dieser LV existiert kein Anmeldeverfahren

1300112341
Zu dieser LV existiert kein Anmeldeverfahren

Content

Why do stars lose mass and what are the mechanisms behind it? This lecture will provide on overview of the different types of winds we find in stars and their physical origin. After exploring the different wind regimes (solar wind, hot stars, cool stars), the lecture will also cover the consequences of strong mass outflow on the evolution and environment of stars.

1300112352
Zu dieser LV existiert kein Anmeldeverfahren

Content

This lecture is an introduction to molecular astrophysics and astrochemistry.

Goal

The spectroscopic and continuum observations of simple inorganic and complex organic molecules in space are at the forefront of observational astronomy. Powerful new facilities such as the Atacama Large Millimeter/submillimeter Array and the James Webb Space Telescope have enabled us to probe the molecular composition of the Universe from the Big Bang to local interstellar space, and from the distant past to the present. The wealth of diagnostic data is driving extensive laboratory and theoretical studies aimed at extracting key information about the physics and chemistry of space from these data. Our understanding of the life cycle of matter in the Universe is also intertwined with such a fundamental question as the origin of life. In this course, you will learn how molecules can be detected in a variety of interstellar environments, from the interstellar medium to planetary atmospheres, and how they are formed and destroyed there. You will learn about the basic spectroscopic properties of molecules and solids, how molecular lines and solid-state bands are used to study the underlying physical and chemical properties of the matter. The major processes of molecule formation and destruction in space, and the interplay between the gas-phase and surface reactions will be discussed from both experimental and theoretical perspectives. You will learn about the formation of the first elements after the Big Bang and the main chemical processes in the early Universe. You will also learn about the formation of other elements in stars, and what happens to these elements after they are ejected into the interstellar space at the end of the star's life. Finally, you will learn about exoplanets, atmospheres, habitability, and the origin of life.

1300112411
Anmeldung ab 01.03.2026 möglich
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Content

The course "Introduction to Computational Physics" can be part of both Bachelor and Master studies in physics. Its description can be found in the Bachelor Handbook.

Regarding physical knowledge, basic knowledge is again useful for a deeper understanding (we will work on topics from mechanics, statistical physics and quantum mechanics, for example), but the technical & numerical tasks can be solved by only following the explanations in the lecture and tutorials.

1300114300
LV-Anmeldung möglich
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Content

Das Modul zur Einführung in die Astronomiedidaktik (ADIDA) im Rahmen des Erweiterungsfachs Astronomie für Lehramtstudierende an Gymnasien an der Universität Heidelberg wird am Haus der Astronomie durchgeführt (zu erreichen mit den Buslinien 30 und 39 oder mit der Bergbahn). Es findet immer im Sommersemester statt und beginnt vor Beginn der Vorlesungszeit im April mit einem einwöchigen Blockkurs zur Einführung jeweils von 9:30-12:30 Uhr. Der praktische Anteil findet semesterbegleitend in der Vorlesungszeit statt. 

Die Veranstaltung führt in die astronomische Fachdidaktik ein und behandelt unter anderem Elementarisierung und Modelle, Versuche und Messungen, Medien und Hilfsmittel, Methodik sowie die Ausarbeitung von Unterrichtseinheiten im Fach Astronomie.

1300116004
Anmeldung ab 01.03.2026 möglich
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Content

Diese Vorlesung wendet sich an Hörer aller Fakultäten, die einen Einblick in die moderne Astronomie und Astrophysik bekommen wollen. Es werden keine besonderen physikalischen oder mathematischen Vorkenntnisse benötigt. 

Folgende Themen werden abgedeckt (die Termine sind vorläufig):

14.4.25 Astronomie heute  (Wambsganβ, Fendt) 
21.4.25 (keine Vorlesung, Ostermontag) 
28.4.25 Geschichte der Astronomie  (Wambsganβ)  
5.5.25   Licht, Teleskope, Instrumente  (Fendt)
12.5.25 Sterne – Klassifikation  (Fendt)
19.5.25 Sonne, Erde, Mond  (Wambsganβ)
26.5.25 Das Planetensystem  (Wambsganβ)           
2.6.25   Sterne – Aufbau & Entwicklung  (Fendt)
9.6.25 (keine Vorlesung, Pfingstmontag) 
16.6.25 Interstellares Medium & Sternentstehung  (Fendt)
23.6.25 Die Milchstrasse  (Fendt)
30.6.25 Exoplaneten & Leben  (Wambsganβ) 
7.7.25   Galaxien  (Wambsganβ) 
14.7.25 Aktive Galaxien, Quasare, Schwarze Löcher  (Fendt)
21.7.25 Eventuell Besuch auf dem Königstuhl mit Besichtigung der astronomischen Institute

1300116021
LV-Anmeldung möglich
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1300116107
Anmeldung ab 01.03.2026 möglich
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1300122203
Anmeldung ab 01.03.2026 möglich
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Content

We will treat the following topics:
• Spectroscopy and metrology
• Atom-light interactions
• Cavity Quantum Electrodynamics 
• Matter waves
• Cooling and trapping
• Mass measurements
• Quantum gases
• (Ultracold) Collisions
• Single atoms and molecules
• Quantum information
• Femto- and attosecond processes

Goal

After completing this course the students will be able to ¿ describe modern aspects of experimental research in atomic, molecular and optical physics, ¿ analyse standard experimental approaches of atomic, molecular and optical physics, ¿ design simple experimental set-ups in atomic, molecular and optical physics, ¿ apply the methods to simple practical examples.

1300122219
Anmeldung ab 01.03.2026 möglich
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Content

This lecture will provide an introduction to the fundamentals and current work in the research area of Attosecond Physics.  The pioneers of this field were awarded the Physics Nobel Prize in 2023 for providing the ultrashort flashes of light (attosecond pulses), and current opportunities to employ their techniques for the understanding and steering of electron motion in matter are quickly expanding.

The lecture will be accompanied by a tutorial (right after the lecture) for praticing our understanding of key concepts and physics pictures, also including (computational) experiments.

Important Dates:
- 14 OR 21 April 2026 (date to be communicated), 14:15: First Lecture and Tutorial intro

1300122221
Anmeldung ab 01.03.2026 möglich
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Content

Special lectures on the quantum electrodynamics of precision spectroscopic experiments, covering both theoretical and experimental aspects

1300122242
Zu dieser LV existiert kein Anmeldeverfahren

1300132215
Anmeldung ab 01.03.2026 möglich
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Content

https://moodle.umm.uni-heidelberg.de/moodle/course/view.php?id=133

Goal

The participants will select a paper given in the Materials selection below and present the content to the group followed by a discussion.  Afterwards, the paper is summerized in a report.

1300132218
Anmeldung ab 01.03.2026 möglich
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Content

s. Module Handbook

Goal

s. Module Handbook

1300132219
Anmeldung ab 01.03.2026 möglich
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Content

s. Module Handbook

Goal

s. Module Handbook

1300132220
Anmeldung ab 01.03.2026 möglich
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Content

s. Module Handbook

Goal

s. Module Handbook

1300142101
Anmeldung ab 01.03.2026 möglich
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Content

* Structure of solids in real and reciprocal space
* Lattice dynamics and phonon band structure
* Thermal properties of insulators
* Electronic properties of metals and semiconductors: band structure and transport
* Optical properties from microwaves to UV
* Magnetism
* Superconductivity
(each chapter includes experimental basics)

Goal

After completing the course the students - have gained a thorough understanding of the fundamentals of condensed matter physics and can apply concepts of many-particle quantum mechanics to pose and solve relevant problems. - will be able to describe the priciples of formation of solids and can propose appropriate experimental methods to study structural properties. They are familiar with and can apply the concept of reciprocal space. - they can apply fundamental electronic models to explain and predict properties of crystalline materials as metals, semiconductors, and insulators. - they can ascribe optical, magnetic properties of matter to electronic and structure degrees of freedom. - they can describe and theoretically explain fundamental properties of superconductivity. - they are able to choose appropriate experimental methods for probing structural, optical, magnetic, and electronic properties of condensed matter and can analyse the experimental results.

1300142300
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Content

Siehe Webseite:

https://www.kip.uni-heidelberg.de/cmm/teaching/2025/ecm

1300152102
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Content

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

Goal

Die Studierenden   ¿ kennen die Vorgaben des aktuellen Bildungsplans und grundlegende Methoden im Physikunterricht  ¿ kennen Konzepte fachbezogener Bildung und können diese kritisch analysieren, bewerten und anwenden.  ¿ können fachdidaktische Lerninhalte vernetzen und situationsgerecht anwenden   ¿ verfügen über erste reflektierte Erfahrungen im Planen, Gestalten und Durchführen von kompetenzorientiertem Unterricht

1300152104
Anmeldung ab 01.03.2026 möglich
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Content

This lecture introduces all physical concepts of the fundamentals of Environmental Physics and it is accompanied by exercises and tutorials every week.
The content spans:
• The fundamentals about the Earth climate system and its compartments, flow, transport, and the global radiation balance.
• Geophysical fluid dynamics, i.e. the fundamental laws of free and forced fluid movement and vorticity, and a practical guide to the first principles of turbulence.
• Global circulation of atmosphere and ocean, boundary layer physics, and slow flow through porous media and of ice.
• Gas and heat exchange between ocean and atmosphere. Global fluxes and cycles (energy, water, carbon).
• Isotope fractionation and isotope methods to study the Earth environments, focus on water and carbon isotopes.
• Introduction to models of environmental systems, basic principles of numerical climate modelling.
• Basic principles of radiative transfer. Climate system radiative forcing and sensitivity. Global climate change past, present and future.

Goal

Students achieve a fundamental understanding of the key physical processes and interactions in the Earth surface system and its compartments, as well as of the human impact on these systems and the related societal implications. They are able to solve basic problems of environmental physics and interpret the results in the context of fundamental questions regarding the physics of the earth surface environments and the methodologies to observe and study those.

1300153001
Anmeldung ab 01.03.2026 möglich
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1300162301
Zu dieser LV existiert kein Anmeldeverfahren

1300172103
Anmeldung ab 01.03.2026 möglich
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Content

* Manifolds
* Geodetics, curvature, Einstein-Hilbert action
* Einstein equations
* Cosmology
* Differential forms in General Relativity
* The Schwarzschild solution
* Schwarzschild black holes
* More on black holes (Penrose diagrams, charged and rotating black holes)
* Unruh effect and hawking radiation

Goal

After completing the course the students * have a thorough knowledge and understanding of Einstein's theory of General Relativity including the necessary tools from differential geometry and applications such as black holes, gravitational radiation and cosmology,  * have acquired the necessary mathematical tools from differential geometry, are trained in their application to physical situations with strong gravity and are familiar with their interpretation, * have advanced competence in the fields of theoretical physics covered by this course, i.e. the ability to analyze physical phenomena using the acquired concepts and techniques, to formulate models and find solutions to specific problems, and to interpret the solutions physically and communicate them efficiently, * are able to broaden their knowledge and competence in this field of theoretical physics on their own by a systematical study of the literature.

1300172201
Anmeldung ab 01.04.2026 möglich
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Content

• Non-Abelian gauge theories
• Path integral for fermions
• Renormalization in gauge theories
• Spontaneous symmetry breaking and Higgs mechanism
• Renormalization group, Wilson renormalization

Goal

After completing the course the students ¿ have a thorough knowledge and understanding of the regularisation and renormalisation programme in ¿4-theory, of renormalisation in QED and non-abelian gauge theories (1-loop order), of the effective action and the modern renormalisation group approach, ¿ have acquired the necessary mathematical knowledge and competence for an in-depth understanding of this research field, ¿ have advanced competence in the fields of theoretical physics covered by this course, i.e. the ability to analyze physical phenomena using the acquired concepts and techniques, to formulate models and find solutions to specific problems, and to interpret the solutions physically and communicate them efficiently, ¿ are able to broaden their knowledge and competence in this field of theoretical physics on their own by a systematical study of the literature.

1300172205
Anmeldung ab 01.04.2026 möglich
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Content

Contents:
1) Relativistic quantum theory (Dirac equation, relativistic light-matter
interaction)
2) Quantum theory of light and matter (quantized fields, interaction with
atoms)
3) Open quantum systems (matter and radiation, decoherence, Lamb-shift, natural line width)
4) Dynamics, time evolution and response theory
5) Many electron atoms and lattice models

1300172213
Anmeldung ab 01.04.2026 möglich
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Content

We derive the thermal ground state for the deconfining phase of SU(2) Yang-Mills Thermodynamics, discuss its thermal quasiparticle excitations, and compute the polarization tensor of the effective massless gauge mode. Next, we use these results under the postulate that thermal photon gases of sufficiently large spatial volumes are described by an SU(2) rather than a U(1) gauge principle. For the CMB this gives rise to a modified temperture-redshift relation with an interesting link to 3D Ising criticality. Moreover, we argue that the CMB large-angle anomalies may be traced to SU(2) screening effects and that an axial anomaly with chiral symmetry breaking at the Planck scale yields an ultralight axion particle whose temperature dependent mass essentially is determined by the SU(2) thermal ground state. The super-horizon sized condensate of these particles is a candidate for dark energy. To test the above postulate
recents results of a terrestial blackbody-cavity experiment are discussed and interpreted in the context of SU(2) Yang-Mills thermodynamics.

 Objectives: instanton, Matsubara sum, caloron, thermal ground state, thermal quasiparticle dispersion law, critical exponent, cosmological model, Veneziano-Witten, emissivity, Dicke switch, difference of dBm of noise power

1300172219
Anmeldung ab 01.04.2026 möglich
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1300172228
Anmeldung ab 01.04.2026 möglich
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Content

Effective Field Theories (EFTs) furnish an elegant means to take the first step towards the next quantum field theory of nature, because they allow to include physics beyond the standard model (SM) in a model-independent way via higher dimensional operators.
Beyond that, they are useful to tackle problems with separated scales, that arise in many areas of fundamental physics. EFTs allow to describe the important physics conveniently in terms of degrees of freedom that are most relevant at a given length-scale. In particular, they allow to consistently re-sum large logarithms of ratios of scales, that would otherwise spoil the perturbative expansion, and provide a modern notion of renormalization.
This lecture provides a comprehensive introduction to the concept of EFTs and modern applications, including the bottom-up approach to physics beyond the SM as a guide to the next theory of nature.

The topics covered include:
- General concept of EFTs and resummation
- EFT of weak interactions: Fermi-Theory and Flavor Physics
- EFT of QCD: Chiral Perturbation Theory
- EFTs and Electroweak Symmetry Breaking: the non-linear Sigma Model
- EFT of Axions / Axion-like particles
- EFTs and neutrino physics
- Bottom-up approach to a more fundamental theory of nature: SM-EFT and its variants
- EFT for Dark Matter

1300172229
Anmeldung ab 01.04.2026 möglich
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1300172231
Anmeldung ab 01.04.2026 möglich
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Content

Introduction to nonequilibrium quantum field theory with applications to particle physics/early universe cosmology and ultracold quantum gas dynamics: initial correlations, path integral formulation, resummation techniques, renormalization, dynamical instabilities, attractors, far-from-equilibrium scaling phenomena, non-thermal spontaneous symmetry breaking, thermalization.

1300172232
Anmeldung ab 01.04.2026 möglich
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Content

This course provides a comprehensive introduction to the computational techniques used to model complex many-body systems at the atomic and molecular level. Acting as a bridge between theoretical statistical mechanics and experimental results, molecular simulation has become an indispensable tool in modern physics, chemistry, and materials science.

The course will be based on the textbook by Frenkel and Smit. We will cover the two main pillars of atomistic simulation: Molecular Dynamics (MD) and Monte Carlo (MC) methods. Students will learn the rigorous statistical mechanical foundations underlying these methods and derive, analyze, and implement the algorithms themselves.

Topics Covered:
- Statistical Mechanics Foundations: Review of ensembles (Microcanonical, Canonical, Grand Canonical) and their connection to thermodynamics.
- Monte Carlo Methods: Importance sampling, the Metropolis algorithm, detailed balance, and trial moves for different ensembles.
- Molecular Dynamics: Integration of equations of motion (Verlet, Leap-frog), force field calculation, and managing constraints.
- Advanced Ensembles: Simulating at constant temperature and pressure (thermostats and barostats).
- Free Energy & Phase Transitions: Thermodynamic integration, particle insertion methods (Widom), and Gibbs ensemble simulations.
- Analysis: Computing structural properties (RDFs), transport coefficients (diffusion), and correlation functions.

1300172233
Anmeldung ab 02.04.2026 möglich
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1300172234
Anmeldung ab 02.04.2026 möglich
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Content

The class aims to discuss some topics in quantum field theory:
Part 1:
- axioms of Euclidean QFT, the path integral and the Feynman expansion
- non perturbative construction the phi^4 model in 0 dimensions, resurgence and all that
- stochastic quantization and the path integral measure
Part 2:
- generating functions
- perturbative renormalziation, Wick ordering in d=2, a taste of BPHZ
- The Wilson Fisher fixed point, 

Part 3:
- vector models at large N, the Bardeen Moshe Bender phenomenon, asymptotic freedom and mass generation in the Gross-Neveu model
- matrix models
- tensor models

1300182201
Anmeldung ab 01.04.2026 möglich
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Content

https://sciai-lab.org/teaching/24s/gmlqc/

Goal

see https://sciai-lab.org/teaching/24s/gmlqc/

1300182207
Anmeldung ab 01.03.2026 möglich
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Content

Please find all information here:

https://hci.iwr.uni-heidelberg.de/content/computer-vision

*** Formalities:

Teaching assistants (main point of contact): Friedrich Feiden: johann-friedrich.feiden@iwr.uni-heidelberg.de

Registration: Moodle: https://moodle.uni-heidelberg.de/course/view.php?id=25516


Prerequisite: no prerequisites, but it is recommended to have Machine Learning Background, e.g. Fundamentals of Machine Learning or equivalent

Exam: Either oral exam or mini-project (as in last years).
Leistungspunkte: 6 LP
Usability: Physics, MSc., Angewandte Informatik, MSc. Scientific Computing

Goal

Lernziele (erwartete Lernergebnisse und erworbene Kompetenzen): 	 - Brief Introduction to necessary Machine Learning (incl. U-Net, ResNet, Vision Transformers) - Basic Image Processing (incl. linear/non-linear Filtering) - Sparse feature Detection and Description (incl. SIFT and LIFT) - Projective Geometry, Epipolar Geometry - Sparse 3D Reconstruction , SLAM and Camera Localization - Neural Randiance Fields (NERF) - Robust Matching (incl. Differentiable RANSAC) - Object Tracking (incl. Particle Filter, Kalman Filter, ) - Object Recognition - Image Generation (incl. GAN, Diffusion, VAE, Flows) - Training Data Generation

1300100400
Anmeldung ab 01.03.2026 möglich
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Content

For further details on available courses see https://www.physi.uni-heidelberg.de/~marks/studierendentage/

1300112205
Anmeldung ab 01.03.2026 möglich
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Content

We will examine the application of known physics to the next (very) big step in spaceflight: getting an uncrewed spacecraft to the nearest stars within 50-100 years. This will include classical mechanics and special relativity, electromagnetism, thermodynamics, nuclear and particle physics, astronomy, and quantum mechanics. Topics may include: energy and momentum in central orbits; orbital transfers (Hohmann, slingshot, Oberth effect); rocket equation; space elevator; principles and design of rockets (chemical, fission, fusion, ion, antimatter); relativistic effects of high-speed travel; solar sails (principles and practice); laser sails (including physics of lasers); magnetic and electric sails (in particular for braking at the target star); properties of the interstellar medium (ISM), its impact on spacecraft, and shielding against damage; the ISM/solar system boundary; navigation (esp. using pulsars); communication (radio, optical; Friis transmission equation; basics of information theory); target stars and the science to do there (stellar astrophysics; exoplanets; life); science payloads/instruments; science that can be done enroute (e.g. astrometry, ISM).

1300112206
Anmeldung ab 01.04.2026 möglich
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1300112207
Anmeldung ab 01.04.2026 möglich
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Content

This seminar is part of the master module MVAstro3 (Galactic and Extragalactic Astronomy).  It supplements the lecture contents.  It is usually being held as a block event on three or four afternoons chosen in the course; typically on Saturdays.

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1300121118
Anmeldung ab 01.03.2026 möglich
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Content

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.

Themenvorschläge an die Betreuer sind willkommen. 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 Penningfalle
Kernmassenbestimmungen für die Bestimmung der Neutrinomasse
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
Materiewellen: vom ersten Nachweis zur modernen Atominterferometrie
Rydberg-Atome als Testsystem für fundamentale Physik
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
Röntgenspektroskopie von astrophysikalischen Plasmen mit hochgeladenen Ionen
Kernmagnetische Resonanz und Magnetometrie mit Atomen
Der Hanbury-Brown-Twiss-Effekt
Der Aharonov-Bohm Effekt: Experimente ohne Störung des Quantenzustands
Erster Seminartermin: 16.04.2026

Zeit: wöchentlich,

Do. 16:00 bis 18:00; Ort: INF 227 / SR 02.402

Co-Dozenten: Klaus Blaum, 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 von den Betreuern (crespojr@mpi-hd.mpg.de, klaus.blaum@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.

1300121128
Anmeldung ab 01.03.2026 möglich
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Content

In this seminar, we will cover basics concepts and themes of quantum mechanics through the discussion of historical as well as modern experiments. The topics will be inspired by a selection of problems discussed in the book "The Quantum Mechanics Solver" by Jean-Louis Badevant and Jean Dalibard. Besides the book mentioned above, research literature will be suggested for a different and/or deeper look at the topics. 

For each topic, one student will be responsible for studying and understanding it, and then presenting it to the seminar participants in a 20-minute talk. Prior to the presentation, two or three individual meetings will be scheduled with the lecturer to discuss the topics, the material to be presented and the structure of the presentation. After the presentation there will be a 20-minute discussion and exchange on the topics in which all students will participate.  After the presentation, each student must submit a short summary of their topic based on the slides they presented.

1300122138
Anmeldung ab 01.03.2026 möglich
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Content

Nowadays, an extraordinary degree of control of isolated quantum systems has been achieved across a variety of experimental platforms, including trapped ions, neutral atoms, and molecules.  A large toolbox has emerged that enables fundamental research and technological advances at the forefront of modern science. Applications ranges from high precision test of fundamental theories using single particles to quantum computing on large arrays of such isolated particles, passing by quantum sensing and quantum simulation on few- to many-body systems.
In this seminar we will discuss key experiments in this rapidly evolving field. Each student will prepare and deliver a 30-minute presentation on a selected topic. Special emphasis should be devoted to the underlying physical idea, the experimental techniques, and the interpretation of the results. The preparation of this presentation will be supported by two-to-three meetings with the assigned tutor, allowing each student to discuss the physical aspects of the selected topics, as well as the structure of the talk. After their presentation, each student should provide a one-page summary. Furthermore, we expect all students to attend every session and participate with active feedback and questions. The seminar takes place on Wednesdays from 09:15 to 11:00.

1300122139
Anmeldung ab 01.03.2026 möglich
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1300131211
Anmeldung ab 01.03.2026 möglich
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Content

in addition to the contents of the module handbook: 
- the seminar will focus on a specific field
- for each topic in this field, one or more current research papers are available over moodle
- there will be a discussion of the contents of these papers (preparation phase)
- there will be a test presentation
- and finally a presentation in front of the audience

Goal

see module handbook

1300132214
Anmeldung ab 01.03.2026 möglich
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1300132223
LV-Anmeldung möglich
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Content

06.02.2026 - Registration opened.

Registration via the following link:
https://medphysrad-teaching.dkfz.de/seminar_so.html
(all relevant information can be found there)

REGISTRATION in heiCO is NOT SUFFICIENT to secure a place in the seminar !

Kontakt:
T.Kuder@dkfz.de
Leif.Schroeder@dkfz.de

1300142205
Anmeldung ab 01.04.2026 möglich
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Content

Introduction, final decision to participate in this seminar, and assignment of topics will be done during the first seminar session. 

Selected topics can be discussed and assigned earlier upon request.

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
...

1300152202
Anmeldung ab 01.03.2026 möglich
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Content

•  Preparation and presentation of an advanced topic in experimental or theoretical physics or another physics related area; during the seminar about 12 talks on a specific research field are given and actively discussed by all course participants.  
• Beside the oral presentation of the research topic also is write-up of the presented talk is required.

Goal

After completion of this module, the student can describe the intentions and difficulties of modern research in physics or another physics related area. The student can handle modern literature and can extract information from present-day physics publications.

1300154101
Anmeldung ab 01.03.2026 möglich
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Content

Reduktion der fachwissenschaftlichen Kenntnisse auf den gymnasialen Physikunterricht 
Schwierigkeiten und Lösungen der Vermittlung
didaktische Prinzipien
Methoden und Konzepte 
Ausarbeitung konkreter Unterrichtsstunden für die Mittelstufe und deren Präsentation

Goal

Erster Kontakt zur Schulpraxis, Planung von Unterrichtsstunden, Vorbereitung auf das  Schulpraxissemester

1300154102
Anmeldung ab 01.03.2026 möglich
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Content

Reduktion der fachwissenschaftlichen Kenntnisse auf den gymnasialen Physikunterricht 
Vorbereitung auf das Referendariat
ausgewählte Inhalte auch aus der Perspektive des Lernenden 
Schwierigkeiten und Lösungen der Vermittlung von physikalischen Begriffen
didaktische Prinzipien
Methoden und Konzepte

Goal

Grundlagen der Fachdidaktik für das gymnasiale Lehramt

1300162203
Anmeldung ab 01.03.2026 möglich
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Content

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.

1300162205
Anmeldung ab 01.04.2026 möglich
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1300171110
Anmeldung abgelaufen
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Content

In Ergänzung zur Vorlesung sollen fortgeschrittenere oder aus Zeitgründen nicht besprochene Themen aus der Elektrodynamik behandelt werden.

Goal

Vertiefung der Kenntnisse der Elektrodynamik, Erlernen des wissenschaftlichen Vortragens und der wissenschaftlichen Diskussion.

1300171112
Anmeldung ab 01.03.2026 möglich
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1300171113
Anmeldung ab 01.03.2026 möglich
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1300171114
Anmeldung ab 01.03.2026 möglich
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1300172221
Anmeldung ab 01.04.2026 möglich
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Content

Phase transitions and critical phenomena; Topological phase transitions; Ising model;
Boltzmann equation and H-theorem; Master equation, Markovian and non-Markovian processes; Langevin- and Fokker-Planck equation; Nonlinear boson diffusion equation;
Time-dependent Bose-Einstein condensate formation in ultracold bosonic atoms; Thermalization of gluons in relativistic collisions; Partial thermalization of recombination photons in the early universe; Physical basis for the direction of time

1300172222
Anmeldung ab 01.03.2026 möglich
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Content

Biological cells have remarkable abilities to respond to changes in their environment. This seminar focuses on signal reception and processing from a mathematical and physical perspective. With the help of common biological model systems we will analyze qualitatively and quantitatively how cells sense and respond to their chemical and physical environment, discussing phenomena such as chemotaxis, immune response, mechanosensing and neuronal responses. With the help of kinetic equations and information theory, we will elucidate the biophysical limitations of cellular information processing in each case and introduce key concepts that have enabled cells to successfully meet these challenges. Participants are introduced to some of the standard models in the field, like zero-order ultrasensitivity, kinetic proofreading and the Monod-Wyman-Changeux model. With the help of such generic biophysical models, we will address: 1) how signals are sensed by allosteric receptors, 2) how information is processed by cellular signal transduction networks to extract biologically relevant information from such signals and 3) how cells achieve specific and robust information transfer.

1300172230
Anmeldung ab 01.04.2026 möglich
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1300182217
Anmeldung ab 01.03.2026 möglich
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Content

https://astroai-lab.de/sciml26.html

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Content

Übungen am 70cm Teleskop der Landessternwarte Heidelberg.

Goal

Selbstständige Vorbereitung und Planung von astronomischen Beobachtungen. Eigenständige Durchführung von astronomischen Beobachtungen mit dem Teleskop.

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Content

Durchführung von mehreren astrophysikalischen Versuchen je nach Kenntnisstand innerhalb einer Woche. Diese decken grosse Gebiete in der Astronomie ab. Dauer pro Versuch 1-1.5 Tage. Kein separates Protokoll oder Hausarbeit notwendig.

Goal

Selbstständige Bearbeitung experimenteller Fragestellungen. Kennenlernen und Vertiefung diverser astronomischer moderner Tools wie zB Datenreduktion, virtuelles Observatorium, Interpretation diagnostischer Diagramme.

1300112350
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1300112351
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Content

Durchführung von mehreren astrophysikalischen Versuchen je nach Kenntnisstand innerhalb einer Woche. Diese decken grosse Gebiete in der Astronomie ab. Dauer pro Versuch 1-1.5 Tage. Kein separates Protokoll oder Hausarbeit notwendig.

Goal

Selbstständige Bearbeitung experimenteller Fragestellungen. Kennenlernen und Vertiefung diverser astronomischer moderner Tools wie zB Datenreduktion, virtuelles Observatorium, Interpretation diagnostischer Diagramme.

1300152205
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1300110412
Anmeldung ab 01.04.2026 möglich
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Content

This is an introductory statistics course for students in physics. It is a computer-based course, in which you will learn not only the principles and methods of statistical analysis, but will also put these into practice using a range of real-world data

1300111401
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Content

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.

Goal

Ziel dieses Kurses ist es, zu lernen, wie man die Python-Programmierung zur Lösung wissenschaftlicher Probleme einsetzt. Es handelt sich um einen interaktiven Learning-by-Doing-Kurs, der auf einer Reihe von Python-Notebooks basiert und zahlreiche Übungen enthält. Er richtet sich primär an Bachelor-Studenten.

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