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arxiv: 0712.1131 · v1 · submitted 2007-12-07 · 🧮 math-ph · math.MP

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

classification 🧮 math-ph math.MP
keywords electronfunctionlatticemathematicalpartitionalternativealthoughanalysis
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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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