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  Advanced theoretical physics: Advanced quantum mechanics (TV-A, TV-MAT)

Lecturer
Prof. Dr. Hanno Sahlmann

Details
Vorlesung
4 cred.h, ECTS studies, ECTS credits: 10, Sprache Englisch
Time and place: Tue, Thu 10:00 - 12:00, HD (außer Tue 17.10.2017); single appointment on 17.10.2017 10:00 - 11:45, HD

Fields of study
WPF Ph-MA ab 1 (ECTS-Credits: 10)
WF PhM-MA ab 1 (ECTS-Credits: 10)

Prerequisites / Organisational information
Voluntary interim examinations: Two voluntary written tests of 45 minutes length each are offered in the course of the lecture. The tests are based on problems from homework sheets. If one of the tests is successfully passed, this improves the grade by 0.3 or 0.4. If both tests are successfully passed, it improves the grade by 0.6 or 0.7.

Contents
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

ECTS information:
Title:
In-Depth Course in Theoretical Physics 1 (Lecture)

Credits: 10

Prerequisites
If 50% or more of the possible points in the homework are obtained, the final grade for the class improves by 0,3.

Additional information
www: https://www.studon.fau.de/crs1999681.html

Assigned lectures
UE: Advanced theoretical physics: Advanced quantum mechanics (Exercise class)
Lecturer: Prof. Dr. Hanno Sahlmann
Time and place: Thu 16:00 - 19:00, SR 01.779, SR 02.729, SR 02.779; Thu 13:00 - 17:00, SR 01.178, SR 01.566; Thu 14:00 - 17:00, HB
AG: Advanced theoretical physics: Advanced quantum mechanics (Tutor group)
Lecturers: Prof. Dr. Hanno Sahlmann, Assistenten
Time and place: Mon 8:00 - 10:00, 12:00 - 14:00, SR 01.683

Verwendung in folgenden UnivIS-Modulen
Startsemester WS 2017/2018:
Advanced Theoretical Physics: Advanced Quantum Mechanics (TV-A)

Department: Professur für Theoretische Physik (Prof. Dr. Sahlmann)
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