Thermodynamic Properties of a Quantum Group Boson Gas $G{L}_{p,q}(2)$

Abstract

An approach is proposed enabling to effectively describe the behaviour of a bosonic system. The approach uses the quantum group $G{L}_{p,q}(2)$ formalism. In effect, considering a bosonic Hamiltonian in terms of the $G{L}_{p,q}(2)$ generators, it is shown that its thermodynamic properties are connected to deformation parameters $p$ and $q$. For instance, the average number of particles and the pressure have been computed. If $p$ is fixed to be the same value for $q$, our approach coincides perfectly with some results developed recently in this subject. The ordinary results, of the present system, can be found when we take the limit $p=q=1$.

13 pages, Latex

References in corpus (2)

• The phase diagram of magnetic ladders constructed from a composite-spin model
• Quantum Hall Effect Wave Functions as Cyclic Representations of U_q(sl(2))

Cited by in corpus (5)

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• Bose Einstein condensation in a gas of the Fibonacci oscillators
• Non-extensive entropy of bosonic Fibonacci oscillators
• Intermediate statistics: addressing the thermoelectric properties of solids
• Remarks on SU_q(2) fermions