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Mathematical Basis of Quantum Statistical Physics [MA5109]

Wintersemester 2013/14

Dr. David Reeb

Lecturer: Dr. David Reeb
Lecture: Mon 16:30-18:00, LMU, Theresienstr. 37, room A 450   Anmeldung
Exercises: Thu 16:30-18:00 (bi-weekly), LMU, Schellingstr. 4, lecture hall H 030   
dates: 24.10., 7.11., 21.11., 5.12., 19.12., 16.01., 30.01.



This course provides the abstract mathematical concepts necessary to treat quantum systems in equilibrium within the algebraic framework. The specific topics addressed are:
C*-algebras, GNS construction, states, von Neumann algebras, quasi-local algebras and time-evolution (we did not get to the following topics: Tomita-Takesaki Modular Theory, KMS states and their properties and physical significance, relative entropy and other entropy measures).