Volume 135, Number 3, August 2021
|Number of page(s)||5|
|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
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
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.