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What is between Fermi-Dirac and Bose-Einstein Statistics?

Krzysztof Byczuk·Jozef Spalek·Geoffrey Joyce·Sarben Sarkar
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Abstract

We overwiev the properties of a quantum gas of particles with the intermediate statistics defined by Haldane. Although this statistics has no direct connection to the symmetry of the multiparticle wave function, the statistical distribution function interpolates continuously between the Fermi-Dirac and the Bose-Einstein limits. We present an explicit solution of the transcendental equation for the didtribution function in a general case, as well as determine the thermodynamic properties in both low- and high-temperature limits.

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Krzysztof Byczuk, Jozef Spalek, Geoffrey Joyce, Sarben Sarkar. 2004-03-30. What is between Fermi-Dirac and Bose-Einstein Statistics?. https://arxiv.org/abs/cond-mat/0403735

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