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Advanced theoretical physics: Advanced quantum mechanics



Zeit und Ort:

A bonus on the grade of the final exam can be obtained by taking part in a voluntary written exam in December 2019. The voluntary exam has a duration of 60 minutes. Grades 4.0 to 2.7 in the voluntary exam give a bonus of 0.3/0.4, grades 2.3 to 1.0 give a bonus of 0.6/0.7 for the grade of the final exam.

  • Di 10:00-12:00 Uhr, HD
  • Do 10:00-12:00 Uhr, HD
  • Einzeltermin am 19.11.2019 10:00-12:00 Uhr, HF
  • Einzeltermin am 19.12.2019 10:00-12:00 Uhr, HF
  • Einzeltermin am 12.12.2019 16:00-17:30 Uhr, HG
  • Einzeltermin am 12.12.2019 16:00-17:30 Uhr, HE

Studienfächer / Studienrichtungen

  • WPF Ph-MA 123456789ABCDEF (ECTS-Credits: 10)
  • WF PhM-MA 123456789ABCDEF (ECTS-Credits: 10)


*QM recap*

- algebras, states, representations
- bounded and unbounded operators
- spectrum

*Symmetries in QM*

- groups, unitary representations, ray representations
- Lie groups and algebras
- Application: angular momentum

*QM with multiple particles*

- tensor product
- identical particles
- Fock spaces, second quantization

*Relativistic QM*

- Lorentz group and its representations
- scalars and Klein-Gordon equation
- Spinors and Dirac equation

*Quantum field theory*

- recap classical field theory
- free quantum fields
- Perturbation theory for S-matrix (LSZ Reduction, Gell-Man Low, Feynman diagrams)
- towards the standard model