Prof. em. Franz Wegner
Institut für Theoretische Physik
Ruprecht-Karls-Universität Heidelberg
Philosophenweg 19 (Zimmer 012)
D-69120 Heidelberg, Germany
Tel.: +49-6221-549 437
Fax: +49-6221-549 331
E-mail:
wegner@tphys.uni-heidelberg.de
Vorlesung im WS 2009/10 - Course in winter term 2009/10
Superalgebra and Applications in Solid State
Physics
Friday 11:15-13:00, Physikalisches Institut, Philosophenweg 12
Prerequisites: Theory Course on Quantum Mechanics including second
quantization
Contents: The lectures are based on a volume of 'Lecture Notes in Physics'
which I presently write.
I extend and update the
lecture notes on Grassmann variables.
Thus the course will cover: Grassmann algebra, superanalysis, supermatrices,
some
supergroups, integral theorems on functions of supermatrices invariant under
supergroups; path integrals for fermions (and bosons), the dimer problem in
2d, the two-dimensional Ising model, dimensional reduction, application to
Anderson localization.
The physics applications will be given as soon as the mathematics is developed
and not separately.
Supersymmetry in particle theory will not be covered.
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