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

K. N. Ilinski; J. M. F. Gunn

doi:10.1016/s0375-9601(96)80005-3

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

K. N. Ilinski·J. M. F. Gunn

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Abstract

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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K. N. Ilinski, J. M. F. Gunn. 1995-06-26. Fractional dimensional Fock space and Haldane's exclusion statistics. q/p case. https://doi.org/10.1016/s0375-9601(96)80005-3

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