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arXiv:hep-th/9701084 · Modern Physics Letters A

PARASTATISTICS AS EXAMPLES OF THE EXTENDED HALDANE STATISTICS

S. MELJANAC, M. MILEKOVIC

Published Dec 28, 1996• 4 citations
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Abstract

We show that for every algebra of creation and annihilation operators with a Fock-like representation, one can define extended Haldane statistical parameters in a unique way. In particular for parastatistics, we calculate extended Haldane parameters and discuss the corresponding partition functions.
DOI
10.1142/s0217732396003064

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A general formula for the canonical partition function for a parastatistical system of any order is derived. The formula expresses the canonical partition functions for these in terms of sums of Schur functions.The only hitherto known result due to Suranyi [Phys. Rev. Lett. 65, 2329 (1990)] for parasystems of order two is obtained as a special case. Our results apply not only to parastatistics but to all statistics that can be defined on the basis of the permutation group, including those for which no simple definition in terms of the algebra of creation and annihilation operators is possible. \textcopyright{} 1996 The American Physical Society.
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