Statistics of q-oscillators, quons and relations to fractional statistics
Open Access
- 21 August 1993
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 26 (16), 4017-4034
- https://doi.org/10.1088/0305-4470/26/16/018
Abstract
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 non-relativistic 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 that for an anyonic gas near Bose and Fermi statistics. The first corrections to the second virial coefficients are also evaluated.Keywords
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