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

S. Chaturvedi·V. Srinivasan
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Abstract

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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S. Chaturvedi, V. Srinivasan. 1996-08-26. An interpolation between Bose, Fermi and Maxwell-Boltzmann statistics based on Jack Polynomials. https://arxiv.org/abs/hep-th/9608153

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