Thermodynamics of a two-parameter deformed quantum group boson gas

M. Arık, Jak Kornfilt

Abdullah Algin

Abdullah Algin, Mehmet Baser

Abdullah Algin, Bayram Deviren

We investigate the low temperature behaviour of a two-parameter generalized bosonic quantum gas with -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 -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 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 q 1 = q 2 = 1.

Abdullah Algin, Metin Arık, Ali Serdar Arıkan

We discuss a two-parameter deformed quantum group fermion gas with SU(q/p)(2) symmetry. In order to obtain the role of the deformation parameters (q,p) on the thermodynamics of the system, we calculate several thermodynamical functions and investigate the high temperature behavior of a SU(q/p)(2) fermion gas through a SU(q/p)(2)-invariant fermionic Hamiltonian. However, the ordinary fermion gas results can be obtained by applying the limit q=p=1.

Jack A. Tuszyński, Jacques L. Rubin, J. Meyer +1 more