| Issue |
EPL
Volume 135, Number 3, August 2021
|
|
|---|---|---|
| Article Number | 30006 | |
| Number of page(s) | 5 | |
| Section | General | |
| DOI | https://doi.org/10.1209/0295-5075/ac2453 | |
| Published online | 20 October 2021 | |
Exact solutions to generalized Dunkl oscillator and its thermodynamic properties
1 Research Center for Quantum Physics, Huzhou University - Huzhou, 313000, China
2 Laboratorio de Información Cuántica, CIDETEC, Instituto Politécnico Nacional, UPALM Ciudad de México 07700, Mexico
3 Department of Physics and Research Institute of Natural Science, College of Natural Science, Gyeongsang National University - Jinju 660-701, Korea
4 Faculty of Physics, Shahrood University of Technology - P. O. Box 3619995161-316, Shahrood, Iran
(a) On sabbatical leave from: IPN; dongsh2@yahoo.com
(b) whhuanghz@zjhu.edu.cn
(c) mimip44@naver.com
(d) pa.sedaghatnia@gmail.com (corresponding author)
(e) h.hasanabadi@shahroodut.ac.ir
Received: 2 June 2021
Accepted: 7 September 2021
In this work, based on the generalized Dunkl derivative in quantum mechanics we study the one-dimensional Schrödinger equation with a harmonic oscillator potential and obtain the energy eigenvalues. The principal thermodynamical properties including the Helmholtz free energy, mean energy and entropy are carried out. The effects of the Dunkl parameters on the thermodynamical quantities for even parity are discussed. The case of the odd parity can be easily obtained by substitution of the 
and 
. All results in the limit case are reduced to ordinary statistical mechanics.
© 2021 EPLA
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