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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, 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.
Time and place: Tue, Thu 10:00 - 12:00, HD; single appointment on 19.11.2019 10:00 - 12:00, HF; single appointment on 12.12.2019 16:00 - 17:30, HG, HE; single appointment on 19.12.2019 10:00 - 12:00, HF

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

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

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

ECTS information:
Credits: 10

Additional information
www: https://www.studon.fau.de/studon/goto.php?target=crs_2727472

Assigned lectures
AG: Advanced Quantum Mechanics: Arbeitsgemeinschaft
Lecturers: Prof. Dr. Hanno Sahlmann, Tutoren
Time and place: Tue 13:00 - 17:00, room tbd
UE: Advanced theoretical physics: Advanced quantum mechanics (Exercise class)
Lecturer: Prof. Dr. Hanno Sahlmann
Time and place: Thu 14:00 - 17:00, SR 01.779, SR 02.729 (außer Thu 14.11.2019); Thu 16:00 - 19:00, SR 02.779; Thu 13:00 - 17:00, SR 01.178; Thu 13:00 - 19:00, HB; single appointment on 14.11.2019 14:00 - 17:00, room tbd

Verwendung in folgenden UnivIS-Modulen
Startsemester WS 2019/2020:
Advanced theoretical physics: Advanced quantum mechanics (TV-A)

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