Wintersemester 2026/2027

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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. 21 - Oct. 9, 2026.   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. Kees Dullemond, Dr. Markus Pössel  Lecture Introduction to Astronomy (V, block) Time: daily 9:30 - 13:00, 21.09. - 9.10.2026 (1 free day on October 7) 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: Hörsaal Albert-Ueberle-Str. 7   Content 21.09. Course introduction, Nearby Universe, Radiation and stars (Dullemond) 22.09. Radiation and stars, Observations (Dullemond) 23.09. Stellar atmospheres, Stellar structure pt. 1 (Dullemond) 24.09. Stellar structure pt. 2 (Dullemond) 25.09. Compact objects: white dwars, neutron stars, black holes (Dullemond) 28.09. Compact objects ctd., Interstellar medium (Dullemond) 29.09. Star formation, planet formation (Dullemond) 30.09. Our expanding universe (Pössel) 01.10. Our expanding universe, The Big Bang Phase (Pössel) 02.10. The Big Bang Phase, Structure Formation (Pössel) 05.10. Galaxy basics, Star Formation and chemical evolution (Pössel) 06.10. Stellar motion and Gas Motion, The Milky Way galaxy (Pössel) 08.10. Central regions and central black holes, AGN, Gravitational lensing (Pössel) 09.10. Galaxy environments, Milky Way Archaeology, Galaxy evolution (Pössel)  TBD:  Written exam

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Integrated Block Course (Lecture, Exercises, Seminar) Two full weeks, March 1 to 12  Location:  Philosophenweg 12, Kleiner Hörsaal

Voraussetzungen

- Content of WPAstro/MVAstro0, MKTP2 - Additional content to be announced by lecturer

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Lecture on the formation of stars and planets.  More details can be found on the course website (see link below).

Voraussetzungen

Introductory astronomy knowledge required (e.g. MVAstro0 or equivalent)

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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.

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Voraussetzungen

Basic knowledge of a higher programming language such as C, C++, Fortran or similar

Teilnahmekriterien und Anmeldung

Registration for Special Lectures closed. If you want to participate in this course please mail your name and Matrikel No. to thimm@uni-heidelberg.de. He will then add you as participant.

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- 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.

Voraussetzungen

No prior knowledge required apart from basic physics. However, some experience with computer programming and the use plotting software is assumed. As a tip: "Introduction to Astronomy" (or equivalent course) and "Python for Scientists" or "Advanced Python for Scientists" are an excellent basis for this course, but not a prerequisite.

Lehrziel

After completion of this course, the students will acquire state-of-the-art knowledge in the field of astrophysical compact objects. They will be aware of the main results of gravitational-wave observatories, and will have advanced knowledge of the formation channels of binary compact objects and dormant black holes. They will run some of the main scripts and codes to model compact object formation (population synthesis codes, direct N-body codes, semi-analytic codes, simplified LIGO-Virgo data analysis scripts).

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- 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

Voraussetzungen

Bachelor in physics, special relativity, some programming experience, basic knowledge of black holes and relativistic astrophysics

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¿ Ray optics ¿ Wave optics ¿ Beam optics, Gaussian optics ¿ Fourier optics ¿ Interference and coherence ¿ Photons and atoms ¿ Laser theory and lasertypes ¿ Ultra-short laser pulses ¿ Non-linear optics ¿ Modern applications

Lehrziel

After completing this course the students will be able to ¿ describe the basic principles and experimental methods of optics and photonics, ¿ analyse standard experimental approaches to optics and photonics, ¿ design experimental set-ups in optics and photonics, ¿ apply the methods to simple experimental examples.

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Part I: Tuesdays, 16:15 ¿ 17:45 ¿Cell mechanics¿ (Christine Selhuber-Unkel) structure of the cell, cell mechanics, AFM  Part II: Wednesdays, 16:15-17:45, ¿Experimental Methods in Biophysics¿, (Ilka Bischofs, Motomu Tanaka, Leif Schröder, Rasmus Schröder) EM, diffraction, molecular motors, neutrons, membranes, NMR, protein-ligand interactions, physics of gene transcription  Part III: Fridays, 14:15 ¿ 15:45 ¿Biological Physics¿ (Peer Fischer) Brownian, motion, diffusion, swimmers, molecular motors, optical tweezer, electrophysiology, neuromodulation, ultrasound

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Diese Vorlesung soll Einblicke in die verschiedenen möglichen Anwendungen magnetischer Materialien geben. Dabei werden zunächst die physikalischen Grundlagen magnetischer Materialien erarbeitet, die verschiedenen Anwendungen vorgestellt und die zugrundeliegenden physikalischen Zusammenhänge erarbeitet.

Voraussetzungen

keine

Lehrziel

- Einblick in die Grundlagen des Magnetismus in Festkörpern zu gewinnen. - Die Prinzipien fortgeschrittener experimenteller Methoden und deren Auswertung kennenzulernen. - Verschiedene Anwendungsbereiche magnetischer Materialien kennenzulernen. - Die zugrunde liegenden physikalischen Phänomene zu verstehen.

Teilnahmekriterien und Anmeldung

Für die Anmeldung zur Teilnahme müssen Sie sich in heiCO als Studierende*r identifizieren.

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- Physics of the atmosphere (structure, composition, dynamics, global circulation, radiation)  - Applications in atmospheric physics (e.g. micro-meteorology, trace gas cycles, atmospheric chemistry, measurement techniques)

Voraussetzungen

- content of MKEP4  - to be announced by lecturer

Lehrziel

Students achieve an advanced understanding of the physical and chemical processes in the atmosphere, the methods to study them, and their role in the climate system. They are able to solve advanced problems and interpret the results in the context of current questions in research and application. They can assess and use current scientific literature to further develop their knowledge base, enabling them to conduct independent master research projects in atmospheric physics.

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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.

Voraussetzungen

basic knowledge of atmospheric physics

Lehrziel

Comprehensive knwoledge about various atmospheric remote sensing rechniques

Teilnahmekriterien und Anmeldung

If you want to attend, please send an email to 'thomas.wagner@mpic.de' (but you can also just join the first lecture)

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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. A glimpse is given on climate modelling of present and past climate.

Voraussetzungen

MKEP4

Lehrziel

Students achieve an advanced understanding of the climate system and the methods to study it, including its changes in the past and the modern human impact on it. They are able to solve advanced problems and interpret the results in the context of current research questions and societal implications. They can competently and critically assess the public discourse on climate change on the basis of the current scientific literature. They have developed a knowledge base that enables them to conduct independent master research projects in physics of climate.

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- 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

Teilnahmekriterien und Anmeldung

This block course aims at presenting the basics about physical processes in lakes, such as stratification, waves, currents, turbulence, mixing and matter transport. The course will consist of 14 lectures of 90 min each plus 8 exercise sheets to solve during the course of the week. Students and scientists interested in attending the course are requested to contact  us no later than the 1st Feb 2025 by writing an email to Bertram.Boehrer@ufz.de

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1-week block lecture, language: English, Mar. 8 - 12, 2027, 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.

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¿ Foundations of probability, statistics, information, mutual information, entropy ¿ Statistical description of physical systems with many particles, thermodynamic equilibrium ¿ Ensembles, state variables, ideal and real gases, thermodynamic potentials, the fundamental laws of thermodynamics, finite size corrections ¿ Material constants, specific heat, equilibrium of phases and chemical equilibrium, law of mass action, ideal solutions ¿ Fermi- and Bose-statistics, ideal quantum gases ¿ Phase transitions, Maxwell construction, critical phenomena ¿ Ising model, renormalization group theory ¿ Applications, for example specific heat of solids (Einstein and Debye models), thermodynamics of the early universe, greenhouse effect, biomolecular assembly ¿ Computer simulations, in particular Monte Carlo simulations

Voraussetzungen

Content of PEP1-PEP4, PTP1-PTP4. Sometimes this lecture is considered to be an unofficial PTP5.

Lehrziel

After completing the course the students ¿ have a thorough knowledge and understanding of the laws of thermodynamics and of the description of ensembles in the framework of classical and quantum statistics and there applications to phase transitions, condensed matter, plasma physics, biophysics and astrophysics ¿ 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.

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¿ 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

Voraussetzungen

content of PEP3, PTP4, MKTP1 ¿ announced by lecturer

Lehrziel

After completing the course the students ¿ have a thorough knowledge and understanding of relativistic field equations and the theory of free quantum fields, ¿ will be able to use Feynman rules to calculate on the tree level scattering amplitudes and cross sections for ¿4-theory and for simple reactions in QED, ¿ 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.

1300272204
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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

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For details about content and exercises see https://www.mpi-hd.mpg.de/lin/lectures/ParticlePhysics3/

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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.

Voraussetzungen

Useful knowledge: Quantum Field Theory I, Particle Physics

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Lehrinhalt

- 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

Voraussetzungen

No prior knowledge required apart from basic physics. However, some experience with computer programming and the use plotting software is assumed. As a tip: the course "Python for Scientists", offered on a regular basis by the physics and astronomy department, would be an excellent basis for this course (but not a prerequisite).

Lehrziel

After completion of this module, the students are endowed with the capacity to identify and classify numerical problems. They have reached active understanding of applicable numerical methods and algorithms. They are able to solve basic physical problems with adequate numerical techniques and to recognize the range of validity of numerical solutions.

1300212208
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Integrated Block Course (Lecture, Exercises, Seminar) Two full weeks, March 1 to 12  Location:  Philosophenweg 12, Kleiner Hörsaal  Participation in the seminar is necessary to obtain credit points for the module MVAstro2.2.

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Lehrinhalt

(see English page)

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Students present recent papers. https://sciai-lab.org/teaching/journal-club/

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1300252205
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Folgende Praktikumsexperimente werden zur Zeit im Rahmen des Praktikums Umweltphysik angeboten:  ¿ Stratosphärische Spurengase ¿ Rayleigh-Fraktionierung ¿ Umweltradioaktivität

Voraussetzungen

Inhalt von MKEP4

Lehrziel

Durch die praktische, forschungsorientierte Arbeit erwerben die Studierenden die notwendigen experimentellen Fähigkeiten und das technische Verständnis, um Feldarbeit durchzuführen und die Labortechniken der Umweltphysik anzuwenden. Die in diesem Kurs gewonnenen Erfahrungen befähigen sie, experimentelle Methoden zu bewerten und auszuwählen, um praktische Probleme eigenständig anzugehen und experimentelle Strategien für ihre eigenen Forschungsprojekte zu entwickeln.

Teilnahmekriterien und Anmeldung

Die Buchung individueller Versuche erfolgt über die Anmeldeseite des Fortgeschrittenenpraktikums