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Geometrische Phasen in der Quantenmechanik [MA601316]

Sommersemester 2014

Prof. Dr. Michael Keyl

Dozent: Prof. Dr. Michael Keyl
Übungsleitung:  
Mitwirkende:  
Vorlesung: Do. 14:15-15:45, Seminarraum 03.10.011 Anmeldung
Zentralübung:   Anmeldung
Tutorübungen:   Anmeldung

Aktuelle Informationen

Vorbesprechung am Do 10.4.2014, 14:00 Uhr Seminarraum 03.10.011

Übungsblätter

Inhalt

The study of geometric phases is an important subject of mathematical physics, which combines several areas of mathematics and physics (in particular differential geometry and quantum mechanics) in an unexpected way. It goes back to works of Berry on adiabatic phenomena, and has nowadays a wide range of important applications like the description of the quantum Hall effect and holonomic quantum computation. Topics to be discussed include: adiabatic time evolution, Berry's phase, non-Abelian phases, Hannay angle, classical phases, geometrical formulation of quantum mechanics, geometric phases for mixed states, Aharanov-Bohm effect, quantum Hall effect, entanglement and holonomic quantum computation. The necessary knowledge from differential geometry and quantum mechanics will be provided during the seminar.

Planned topics:

Program

Literatur

"Geometric Phases in Classical and Quantum Mechanics" von D. Chruscinski und A. Jamiolkowski, Springer/Birkhäuser (2004)