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

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.

11 pages, latex, no figures

References in corpus (6)

• Exact Dynamical Correlation Functions of Calogero-Sutherland Model and One-Dimensional Fractional Statistics
• Thermodynamics of an one-dimensional ideal gas with fractional exclusion statistics
• Equation of State of an Anyon Gas in a Strong Magnetic Field
• Fractional Statistics in One-Dimension: View From An Exactly Solvable Model
• Haldane exclusion statistics and second virial coefficient
• Fractional dimensional Hilbert spaces and Haldane's exclusion statistics