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arXiv:0712.1131 [math-ph]AbstractReferencesReviewsResources

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

Jakub Jȩdrak

Published 2007-12-07Version 1

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.

Comments: 27 pages
Categories: math-ph, math.MP
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