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Winter Term 2018/19

Advanced theoretical physics: Advanced quantum mechanics



Zeit und Ort:

  • Di 10:00-12:00 Uhr, HD
  • Do 10:00-12:00 Uhr, HD

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

*Propagators and path integrals*

- Propagator for simple systems
- Brownian motion, Gaussian path integrals
- Path integral representation
- Perturbation theory, Feynman diagrams

*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