Bose-Einstein condensation of a two-parameter deformed quantum group boson gas

Algin A., Deviren B.

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, vol.38, no.26, pp.5945-5956, 2005 (SCI-Expanded) identifier identifier


We investigate the low temperature behaviour of a two-parameter generalized bosonic quantum gas with SUq1/q2(2)-symmetry, where q(1) and q(2) are real independent deformation parameters. We calculate, in the thermodynamical limit, several statistical and thermodynamical functions of the system through an SUq1/q2 (2)-invariant bosonic Hamiltonian. In the low and high temperature limits, the specific heat of the system is obtained in terms of some functions of the deformation parameters q(1) and q(2). At the critical temperature being higher than that of the free boson gas, the specific heat of the two-parameter generalized boson gas exhibits a lambda-point transition behaviour. We also discuss the conditions under which the Bose-Einstein condensation would occur in the present two-parameter generalized boson model. However, the free boson gas results can be recovered in the limit q(1) = q(2) = 1.