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Fock space; fermionic limit; bosonic limit; deformed oscillator algebra; thermodynamic

In this paper, the structure function corresponding to the $q$-deformed harmonic oscillator algebra is considered, where we construct the Hamiltonian by using creation and annihilation operators. Finally, the problem is investigated by evaluating the partition function of the system in finite- and infinite-dimensional Fock space for both fermionic and bosonic limits. Other thermodynamic properties such as the internal energy and the specific heat of the system are also calculated.

S SARGOLZAEIPOR¹ H HASSANABADI¹ W S CHUNG² A N IKOT³

1. Faculty of Physics, Shahrood University of Technology, Shahrood, P.O. Box 3619995161-316, Iran
2. Department of Physics and Research Institute of Natural Science, College of Natural Science, Gyeongsang National University, Jinju 660-701, Korea
3. Theoretical Physics Group, Department of Physics, University of Port Harcourt, Port Harcourt, Nigeria

Published

1 November 2019

Manuscript received

16 April 2019

Manuscript revised

12 May 2019

Accepted

31 May 2019

Early published

Unedited version published online

Final version published online

7 August 2019