Abstract
The discussion of fractional dimensional Hilbert spaces in the context of Haldane exclusion statistics is extended from the case 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.
Original language | English |
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Pages (from-to) | 168-174 |
Number of pages | 7 |
Journal | Physics Letters A |
Volume | 210 |
Issue number | 3 |
DOIs | |
Publication status | Published - 8 Jan 1996 |