https://doi.org/10.1140/epjp/s13360-022-03055-1
Regular Article
Thermal properties of relativistic Dunkl oscillators
1
Département de TC de SNV, Université Hassiba Benbouali, Chlef, Algeria
2
Department of Physics, University of Hradec Králové, Rokitanského 62, 500 03, Hradec Králové, Czechia
Received:
6
February
2022
Accepted:
8
July
2022
Published online:
14
July
2022
For a better understanding of the physical systems, even at the quantum level, the thermal quantities can be investigated. Recently, we realized that the parity of the system can also be examined simultaneously, by substituting the Dunkl operator to the ordinary differential operator in quantum mechanics. In this manuscript, we consider two relativistic Dunkl oscillators and investigate their thermal quantities with well-known statistical methods. Besides, we establish a relationship between the Dunkl–Dirac oscillator and the Dunkl–Anti–Jayne–Cummings model by defining the Dunk creation and annihilation operators. Therefore, we conclude that our model can be regarded as an appropriate scenario for the theory of an open quantum system coupled to a thermal bath.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2022
