Advanced theoretical physics: Advanced quantum mechanics (TV-A)10 ECTS
(englische Bezeichnung: Advanced theoretical physics: Advanced quantum mechanics)
(Prüfungsordnungsmodul: Advanced theoretical physics)

Lehrveranstaltungen:

• • Advanced theoretical physics: Advanced quantum mechanics
    (Vorlesung, 4 SWS, Thomas Thiemann, Di, Do, 10:00 - 12:00, HD)
  • Advanced theoretical physics: Advanced quantum mechanics (Exercise class)
    (Übung, 3 SWS, Thomas Thiemann, Do, 16:00 - 19:00, SR 01.779, SR 02.729, SR 02.779; Do, 13:00 - 17:00, SR 01.178, SR 01.566; Do, 14:00 - 17:00, HB)

Inhalt:

Contents:

• Symmetry:

Continuous symmetry, degeneracies, discrete symmetry, time reversal invariance

• Second quantization:

Identical particles, bosons and fermions, field operators

• Scattering theory:

Method of Green's functions, Integral representation of the scattering amplitude, Born series, Lippmann-Schwinger equation, S-matrix, Born approximation, Optical theorem

• Time dependent perturbation theory:

Interaction picture, Time ordered products, Dyson series, Time dependent Green's functions

• Path integral in quantum mechanics:

Definition of the propagator, Feynman path integral formula, Path integral representation in phase space, Propagator of the free particle, Propagator of the one dimensional harmonic oscillator, Transition amplitudes and Green's functions, Generating functional, Semiclassical approximation

• Relativistic quantum mechanics:

Klein-Gordon equation, Dirac equation, Spinors

Lernziele und Kompetenzen:

Learning goals and competences:
Students

• comprehend, outline and explain quantum-mechanical scattering theory, time-dependent perturbation theory, path integrals as well as relativistic quantum mechanics

• apply the methods of advanced quantum mechanics to specific problems
  

Bemerkung:

May be applied to specialisation 'Theoretical physics' in the physics master program starting winter term 2017/18.

Verwendbarkeit des Moduls / Einpassung in den Musterstudienplan:

1. Physics (Master of Science)
   (Po-Vers. 2018w | NatFak | Physics (Master of Science) | Master's examination | Advanced theoretical physics)

Studien-/Prüfungsleistungen:

Advanced theoretical physics (Prüfungsnummer: 69611)

(englischer Titel: Advanced theoretical physics)

Prüfungsleistung, Klausur, Dauer (in Minuten): 120, benotet

Anteil an der Berechnung der Modulnote: 100.0 %

Prüfungssprache: Englisch

Erstablegung: WS 2018/2019, 1. Wdh.: WS 2018/2019 (nur für Wiederholer)

1. Prüfer:

Thomas Thiemann

Termin: 12.02.2019, 12:00 Uhr, Ort: HG