On some mathematical identities resulting from evaluation of the partition function for an electron moving in a periodic lattice

Details On some mathematical identities resulting from evaluation of the partition function for an electron moving in a periodic lattice On some mathematical identities resulting from evaluation of the partition function for an electron moving in a periodic lattice

2007-12-07

arxiv.org/abs/0712.1131v1

Physics

Mathematical Physics

27 pages

Scientific paper

We consider a simple model of the dynamics of a single electron in a crystal
lattice. Although this is a standard problem in condensed matter physics,
alternative ways of evaluating a partition function for such a system lead to
equalities, that may be interesting from the point of view of mathematical
analysis, combinatorics and graph theory.

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