On some mathematical identities resulting from evaluation of the partition function for an electron moving in a periodic lattice
Abstract
Description
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.
27 pages
27 pages