Thermodynamics of two parameter quantum group gases

Abdullah Algin

Abdullah Algin

Christophe Salomon

Marcelo R. Ubriaco

We study the properties of a thermodynamic system having the symmetry of a quantum group and interacting with a harmonic potential. We calculate the dependence of the chemical potential, heat capacity, and spatial distribution of the gas on the quantum group parameter $q$ and the number of spatial dimensions $D.$ In addition, we consider a fourth-order interaction in the quantum group fields $\ensuremath{\Psi}$ and calculate the ground state energy up to first order.

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.

Luciano Colombo