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<p>In this paper, we investigated the relativistic Dirac oscillator in commutative and noncommutative space. We solved this equation in an accurate analytical method and obtained the corresponding energy eigenvalues and eigenfunctions. Additionally, we examined the thermal properties of the N-fermion system, including the entropy, specific heat capacity, internal energy, and Helmholtz free energy. Furthermore, we demonstrated that in the limit θ → 0, the commutative result is recovered.</p>

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Thermodynamics on the Non-Commutative Dirac Oscillator with the Mie-Type Potential

  • 期刊论文

  • 发表日期：

    2025年2月1日

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  • M. Qolizadeh,
  • S. M. Motevalli,
  • S. S. Hosseini

摘要

In this paper, we investigated the relativistic Dirac oscillator in commutative and noncommutative space. We solved this equation in an accurate analytical method and obtained the corresponding energy eigenvalues and eigenfunctions. Additionally, we examined the thermal properties of the N-fermion system, including the entropy, specific heat capacity, internal energy, and Helmholtz free energy. Furthermore, we demonstrated that in the limit θ → 0, the commutative result is recovered.