Effect of a minimal length on the thermal properties of a Dirac oscillator

TL;DR

This paper investigates how a minimal length scale influences the thermal properties of a Dirac oscillator, using Zeta Epstein functions to derive thermodynamic quantities and estimate minimal length values for fermionic particles.

Contribution

It introduces a method to incorporate minimal length effects into the thermodynamics of a Dirac oscillator and calculates related physical quantities.

Findings

Thermodynamic properties are derived using Zeta Epstein functions.

Minimal length values are estimated for fermionic particles.

The study provides a framework for understanding minimal length effects in quantum systems.

Abstract

The effect of the minimal length on the thermal properties of a Dirac oscillator is considered. The canonical partition function is well determined by using the method based on Zeta Epstein function. Through this function, all thermodynamics properties, such as the free energy, the total energy, the entropy, and the specific heat, have been determined. Moreover, this study allows us to calculate the values of minimal length \triangle x=\hbar\sqrt{\beta} for some fermionic particles.