Three-dimensional Dirac oscillator in a thermal bath

TL;DR

This paper investigates the thermal properties of the three-dimensional Dirac oscillator, calculating the partition function and analyzing how its thermodynamic functions differ from the one-dimensional case, especially at high temperatures.

Contribution

It provides a detailed analysis of the thermodynamics of the 3D Dirac oscillator, including the partition function and high-temperature behavior, highlighting differences from lower dimensions.

Findings

Thermal functions exceed one-dimensional values.

High-temperature specific heat is three times larger.

Degeneracy impacts thermodynamic behavior.

Abstract

The thermal properties of the three-dimensional Dirac oscillator are considered. The canonical partition function is determined, and the high-temperature limit is assessed. The degeneracy of energy levels and their physical implications on the main thermodynamic functions are analyzed, revealing that these functions assume values greater than the one-dimensional case. So that at high temperatures, the limit value of the specific heat is three times bigger.