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Il Nuovo cimento della Società italiana di fisica. B/Il Nuovo cimento B

Q-Deformed determinants and a unified realization of boson, fermion and quon algebras

Zhaoyan Wu

Published Nov 1, 1995• 2 citations
Publisher
DOI
10.1007/bf02723111

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Deformed Quantum Statistics

Akira Inomata

To understand possible physical consequences of quantum deformation, we investigate statistical behaviors of a quon gas. The quon is an object which obeys the minimally deformed commutator (or q-mutator): a\, a^{\dagger} - q a^{\dagger}a=1 with -1\leq q\leq 1. Although q=1 and q=-1 appear to correspond respectively to boson and fermion statistics, it is not easy to create a gas which unifies the boson gas and the fermion gas. We present a model which is able to interpolates between the two limits. The quon gas shows the Bose-Einstein condensation near the Boson limit in two dimensions.

TURKISH JOURNAL OF PHYSICS•Jan 1, 1997•0 citations
To understand possible physical consequences of quantum deformation, we investigate statistical behaviors of a quon gas. The quon is an object which obeys the minimally deformed commutator (or q-mutator): a\, a^{\dagger} - q a^{\dagger}a=1 with -1\leq q\leq 1. Although q=1 and q=-1 appear to correspond respectively to boson and fermion statistics, it is not easy to create a gas which unifies the boson gas and the fermion gas. We present a model which is able to interpolates between the two limits. The quon gas shows the Bose-Einstein condensation near the Boson limit in two dimensions.