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Advanced theoretical physics: Advanced quantum mechanics (TV-A)10 ECTS (englische Bezeichnung: Advanced theoretical physics: Advanced quantum mechanics)
(Prüfungsordnungsmodul: Advanced theoretical physics)
Modulverantwortliche/r: Thomas Thiemann, Dozenten der theoretischen Physik Lehrende:
Thomas Thiemann
Startsemester: |
WS 2018/2019 | Dauer: |
1 Semester | Turnus: |
jährlich (WS) |
Präsenzzeit: |
105 Std. | Eigenstudium: |
195 Std. | Sprache: |
Englisch |
Lehrveranstaltungen:
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Advanced theoretical physics: Advanced quantum mechanics
(Vorlesung, 4 SWS, Thomas Thiemann, Di, Do, 10:00 - 12:00, HD)
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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:
Continuous symmetry, degeneracies, discrete
symmetry, time reversal invariance
Identical particles, bosons and
fermions, field operators
Method of Green's functions,
Integral representation of the scattering amplitude,
Born series,
Lippmann-Schwinger equation,
S-matrix,
Born approximation,
Optical theorem
Interaction picture,
Time ordered products,
Dyson series,
Time dependent Green's functions
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
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:
- 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
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