Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1993-04-23
J.Phys.A26:4017-4034,1993
Physics
High Energy Physics
High Energy Physics - Theory
21 pages, Latex, HU-TFT-93-23
Scientific paper
10.1088/0305-4470/26/16/018
The statistics of $q$-oscillators, quons and to some extent, of anyons are studied and the basic differences among these objects are pointed out. In particular, the statistical distributions for different bosonic and fermionic $q$-oscillators are found for their corresponding Fock space representations in the case when the hamiltonian is identified with the number operator. In this case and for nonrelativistic particles, the single-particle temperature Green function is defined with $q$-deformed periodicity conditions. The equations of state for nonrelativistic and ultrarelativistic bosonic $q$-gases in an arbitrary space dimension are found near Bose statistics, as well as the one for an anyonic gas near Bose and Fermi statistics. The first corrections to the second virial coefficients are also evaluated. The phenomenon of Bose-Einstein condensation in the $q$-deformed gases is also discussed.
Chaichian Masud
Felipe Gonzales R.
Montonen Claus
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