Advanced Theoretical Physics: Advanced Quantum Mechanics (TV-1)10 ECTS
(englische Bezeichnung: Advanced Theoretical Physics: Advanced Quantum Mechanics)
(Prüfungsordnungsmodul: Advanced theoretical physics)

Lehrveranstaltungen:

• • Advanced theoretical physics: Advanced quantum mechanics
    (Vorlesung, 4 SWS, Kai Phillip Schmidt, Di, Do, 10:15 - 11:45, HD)
  • Advanced theoretical physics: Advanced quantum mechanics (Exercise class)
    (Übung, 3 SWS, Kai Phillip Schmidt, Do, 16:00 - 19:00, SR 01.683, SR 01.779, SR 02.729, SR 02.779; Do, 13:00 - 17:00, SR 01.178, SR 01.566)

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 examination | Master 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 examination: The presentation of at least one complete, predominantly correct solution of a homework problem in the exercise classes improves the grade by 0.3 or 0.4. The complete, predominantly correct solution of at least 50% of the homework problems also improves the grade by 0.3 or 0.4. The two bonuses may be added leading to an improved 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 2016/2017, 1. Wdh.: WS 2016/2017 (nur für Wiederholer)

1. Prüfer:

Kai Phillip Schmidt

Termin: 21.02.2017, 10:15 Uhr