The Bose distribution for a gas of nonrelativistic free bosons is derived in the framework of $qp$ -deformed second quantization. Some thermodynamical functions for such a system in D dimensions are derived. Bose-Einstein condensation is discussed in terms of the parameters q and p as well as a parameter $ν_0'$ which characterizes the representation space of the oscillator algebra.The Bose distribution for a gas of nonrelativistic free bosons is derived in the framework of $qp$-deformed second quantization. Some thermodynamical functions for such a system in D dimensions are derived. Bose-Einstein condensation is discussed in terms of the parameters q and p as well as a parameter $ν_0'$ which characterizes the representation space of the oscillator algebra.

arXiv:cond-mat/9611042Nov 6, 19962 citations

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.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 PHYSICSJan 1, 19970 citations

Kinetic model for q-deformed bosons and fermions

G. Kaniadakis, A. Lavagno, P. Quarati

arXiv:hep-th/9701114Physics Letters AMar 1, 199781 citations

qp

-Deformations in Statistical Mechanics of Bosons in D Dimensions

The Bose distribution for a gas of nonrelativistic free bosons is derived in the framework of

qp

-deformed second quantization. Some thermodynamical functions for such a system in D dimensions are derived. Bose-Einstein condensation is discussed in terms of the parameters q and p as well as a parameter

ν_0'

which characterizes the representation space of the oscillator algebra.