An interpolation between Bose, Fermi and Maxwell-Boltzmann statistics based on Jack Polynomials

Details An interpolation between Bose, Fermi and Maxwell-Boltzmann statistics based on Jack Polynomials An interpolation between Bose, Fermi and Maxwell-Boltzmann statistics based on Jack Polynomials

1996-08-22

arxiv.org/abs/hep-th/9608153v2

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, latex, no figures. A typographical error in the stated properties of Jack polynomials has been corrected

Scientific paper

An interpolation between the canonical partition functions of Bose, Fermi and Maxwell-Boltzmann statistics is proposed. This interpolation makes use of the properties of Jack polynomials and leads to a physically appealing interpolation between the statistical weights of the three statistics. This, in turn, can be used to define a new exclusion statistics in the spirit of the work of Haldane.

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