Fractional dimensional Fock space and Haldane's exclusion statistics. q/p case

Details Fractional dimensional Fock space and Haldane's exclusion statistics. q/p case Fractional dimensional Fock space and Haldane's exclusion statistics. q/p case

1995-06-26

arxiv.org/abs/cond-mat/9506115v1

Physics

Condensed Matter

11 pages, latex, no figures

Scientific paper

The discussion of Fractional dimensional Hilbert spaces in the context of Haldane exclusion statistics is extended from the case \cite{IG} of $g=1/p$ for the statistical parameter to the case of rational $g=q/p$ with $q,p$-coprime positive integers. The corresponding statistical mechanics for a gas of such particles is constructed. This procedure is used to define the statistical mechanics for particles with irrational $g$. Applications to strongly correlated systems such as the Hubbard and $t-J$ models are discussed.

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