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Group Theory and Symmetries in Quantum Mechanics (S15)
Group theory and symmetries in quantum mechanics
Lecturers:
Dr. A. Kormanyos
Dr. A. Moskalenko
Prof. G. Burkard
Prerequisites (Voraussetzung): linear algebra (Lineare Algebra I), quantum mechanics (IK4)
Recommended (empfohlen): solid state physics (Festkörperphysik)
The course gives an introduction to the main general aspects of the group theory in view of applications in quantum mechanics. General symmetries, which are relevant for quantum mechanical systems, the theory of angular momentum and many-particle states will be discussed in this context. Applications of the group theory for the analysis of the electronic, vibronic and rotational spectra of atomic and molecular systems will be presented. The group-theoretical techniques will be also used to discuss the band structures of crystalline solids and as well as for construction of effective Hamiltonians at high symmetry points in the reciprocal space on the basis of symmetry considerations. We will show how symmetry implications result in certain selection rules for the transitions between states in atomic, molecular, and solid state systems.
Literature:
1) W.-K. Tung, Group Theory in Physics (World Scientific, 1985).
2) M.S. Dresselhaus, G. Dresselhaus, and A. Jorio, Group Theory: Application to the Physics of Condensed Matter (Springer, 2008).
3) M. Tinkham, Group Theory and Quantum Mechanics (Dover, 1964, 1992, 2003).
4) J. P. Elliott and P. G. Dawber, Symmetry in Physics (Macmillan, 1979).
5) W. Greiner and B. Müller, Quantum Mechanics: Symmetries (Springer, 1994).
Termine
- Vorlesung:
Mo 15:15-16:45 Uhr, P 603
Do 13.30-15.00 Uhr, P 603 - Beginn der Vorlesung: 13.04.2015
- Übungen
- Ende der Lehrveranstaltungen: 17.07.2015
- Prüfungen
Di 17.00-18:30 Uhr P1012 Heng Wang
Exercise sheets
Sheet 1
Sheet 2
Sheet 3
Sheet 4
Sheet 5
Sheet 6
Sheet 7
Sheet 8
Sheet 9
Sheet 10
Sheet 11
Sheet 12
Sheet 13
Mündliche Prüfung: Dienstag, 28.07.15
Schriftliche Prüfung: Mittwoch, 29.07.15 , 10:00-13:00, P712
Erlaubte Hilfsmittel:
Nur Schreibmaterial und ein beidseitig beschriebenes A4 Blatt (keine Taschenrechner, keine Handys/Smartphones usw.)