Partition functions and symmetric polynomials

Details Partition functions and symmetric polynomials Partition functions and symmetric polynomials

2001-04-17

arxiv.org/abs/cond-mat/0104293v1

Am. J. Phys. 70 (2002) 53-57

Physics

Condensed Matter

Statistical Mechanics

10 pages, no figures; submitted to Am. J. Phys.. More information at http://www.physik.uni-osnabrueck.de/makrosysteme/

Scientific paper

10.1119/1.1412643

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.

Affiliated with

Also associated with

No associations

Rating

Partition functions and symmetric polynomials does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Partition functions and symmetric polynomials, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Partition functions and symmetric polynomials will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-484077