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

Abstract

We investigate the low temperature behaviour of a two-parameter generalized bosonic quantum gas with -symmetry, where q1 and q2 are real independent deformation parameters. We calculate, in the thermodynamical limit, several statistical and thermodynamical functions of the system through an -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 q1 and q2. 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 λ-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 q1 = q2 = 1.