Haldane-Wu statistics and Rogers dilogarithm

Details Haldane-Wu statistics and Rogers dilogarithm Haldane-Wu statistics and Rogers dilogarithm

2002-11-14

arxiv.org/abs/math-ph/0211026v2

Zap.Nauchn.Semin.291:64-77,2002; J.Math.Sci.125:136-143,2005

Physics

Mathematical Physics

9 pages, LaTeX2e, references added

Scientific paper

The Haldane-Wu exclusion statistics is considered from the generalized extensive statistics point of view and certain related mathematical aspects are investigated. A series representation for the corresponding generating function is proven. Equivalence of two formulae for the central charge, derived for the Haldane-Wu statistics via the thermodynamic Bethe ansatz, is established. As a corollary, a series representation with a free parameter for the Rogers dilogarithm is found. It is shown that the generating function, the entropy, and the central charge for the Gentile statistics majorize those for the Haldane-Wu statistics (under appropriate choice of parameters). From this, some dilogarithm inequality is derived.

Affiliated with

Also associated with

No associations

Rating

Haldane-Wu statistics and Rogers dilogarithm 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 Haldane-Wu statistics and Rogers dilogarithm, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Haldane-Wu statistics and Rogers dilogarithm will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-473766