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<p>We study an ideal Bose gas confined by a <i>D</i>-dimensional power-law potential within the framework of the Dunkl formalism. By analyzing the combined effects of spatial dimensionality and trap geometry, we derive universal expressions for the thermodynamic quantities, which depend solely on a single parameter. This reduction reveals the existence of universality classes that apply to any power-law potential, regardless of its specific form. Furthermore, we demonstrate that the thermodynamic consistency of the Dunkl formalism requires the Wigner parameter to lie within the interval [0,&#xa0;2]. This finding extends previous results obtained for harmonically trapped ideal Bose gases and establishes that these bounds hold for arbitrary regular potentials in any dimension. </p>

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Thermodynamics of a General Power-Law Trapped Ideal Dunkl-Deformed Bose Gas

  • 期刊论文

  • 发表日期：

    2026年1月5日

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  • M. Medani,
  • M. Benarous,
  • A. Hocine,
  • F. Merabtine

摘要

We study an ideal Bose gas confined by a D-dimensional power-law potential within the framework of the Dunkl formalism. By analyzing the combined effects of spatial dimensionality and trap geometry, we derive universal expressions for the thermodynamic quantities, which depend solely on a single parameter. This reduction reveals the existence of universality classes that apply to any power-law potential, regardless of its specific form. Furthermore, we demonstrate that the thermodynamic consistency of the Dunkl formalism requires the Wigner parameter to lie within the interval [0, 2]. This finding extends previous results obtained for harmonically trapped ideal Bose gases and establishes that these bounds hold for arbitrary regular potentials in any dimension.