Wintersemester 2026/2027

1300212104
Anmeldung ab 01.10.2026 möglich
Link zur Anmeldung

Lehrinhalt

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

1300222105
Anmeldung ab 01.10.2026 möglich
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Lehrinhalt

• 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)

Voraussetzungen

PEP1-PEP5, PTP1-PTP4

Lehrziel

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

1300272101
Anmeldung ab 01.10.2026 möglich
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Lehrinhalt

• 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.

1300272104
Anmeldung ab 01.10.2026 möglich
Link zur Anmeldung

Lehrinhalt

• 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.

1300272106
Anmeldung ab 01.10.2026 möglich
Link zur Anmeldung

Lehrinhalt

Infos auf unserer Website:https://sciai-lab.org/teaching/25w/mlph/