Thermal Properties of Relativistic Dunkl Oscillators

TL;DR

This paper investigates the thermal properties of relativistic Dunkl oscillators, exploring their statistical behavior and establishing connections with quantum models, providing insights into open quantum systems at the relativistic quantum level.

Contribution

It introduces a study of thermal quantities for relativistic Dunkl oscillators and links them to the Dunkl-Dirac and Dunkl-Anti-Jayne-Cummings models, expanding understanding of quantum systems with parity considerations.

Findings

Thermal properties of relativistic Dunkl oscillators are characterized.

A relationship between Dunkl-Dirac oscillator and Dunkl-Anti-Jayne-Cummings model is established.

The model is suitable for describing open quantum systems interacting with a thermal bath.

Abstract

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 with 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.