Theorie-Vertiefung: Fortgeschrittene Quantenmechanik (TV-1)10 ECTS
(englische Bezeichnung: Advanced Theoretical Physics: Advanced Quantum Mechanics)
(Prüfungsordnungsmodul: Theorie-Vertiefung)

Lehrveranstaltungen:

• • Theorie-Vertiefung 1: "Fortgeschrittene Quantenmechanik"
    (Vorlesung, 4 SWS, Kristina Giesel, Di, Do, 10:00 - 12:00, HE)
  • Theoretikum zur Theorie-Vertiefung 1
    (Übung, 3 SWS, Kristina Giesel, Do, 16:00 - 19:00, SR 01.683, SR 01.779, SR 02.729, SR 02.779; Do, 13:00 - 16:00, HC)

Inhalt:

Contents:

• 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
  

Verwendbarkeit des Moduls / Einpassung in den Musterstudienplan:

1. Physik (Master of Science)
   (Po-Vers. 2010 | Masterprüfung | Masterprüfung | Theorie-Vertiefung)

Studien-/Prüfungsleistungen:

Theorie-Vertiefung (Prüfungsnummer: 69601)

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

Anteil an der Berechnung der Modulnote: 100.0 %

Erstablegung: WS 2014/2015

1. Prüfer:

Kristina Giesel