Partition functions and symmetric polynomials
arXiv:cond-mat/0104293 · doi:10.1119/1.1412643
Abstract
We find a close correspondence between certain partition functions of ideal quantum gases and certain symmetric polynomials. Due to this correspondence it can be shown that a number of thermodynamic identities which have recently been considered are essentially of combinatorical origin and known for a long time as theorems on symmetric polynomials. For example, a recurrence relation for partition functions appearing in the textbook of P. Landsberg is nothing else but Newton's identity in disguised form. Conversely, a certain theorem on symmetric polynomials translates into a new and unexpected relation between fermionic and bosonic partition functions, which can be used to express the former by means of the latter and vice versa.
10 pages, no figures; submitted to Am. J. Phys.. More information at http://www.physik.uni-osnabrueck.de/makrosysteme/
References in corpus (2)
Cited by in corpus (5)
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