Advanced Theoretical Physics: Advanced Quantum Mechanics (TV-A)10 ECTS
(englische Bezeichnung: Advanced Theoretical Physics: Advanced Quantum Mechanics)
(Prüfungsordnungsmodul: Advanced theoretical physics)

Lectures:

• • Advanced theoretical physics: Advanced quantum mechanics
    (Vorlesung, 4 SWS, Hanno Sahlmann, Tue, Thu, 10:00 - 12:00, HD, (außer Tue 17.10.2017); single appointment on 17.10.2017, 10:00 - 11:45, HD)
  • Advanced theoretical physics: Advanced quantum mechanics (Exercise class)
    (Übung, 3 SWS, Hanno Sahlmann, 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)

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
  

Verwendbarkeit des Moduls / Einpassung in den Musterstudienplan:

1. Physics (Master of Science)
   (Po-Vers. 2015s | 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 %

weitere Erläuterungen:
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.

Masterstudierende mit Studienbeginn ab Sommersemester 2015 können Prüfungen in deutscher Sprache nur mit Genehmigung des Prüfungsausschussvorsitzenden ablegen.

Prüfungssprache: Englisch

Erstablegung: WS 2017/2018, 1. Wdh.: WS 2017/2018 (nur für Wiederholer)

1. Prüfer:

Hanno Sahlmann