Dunkl 形式化下的理想费米气
量子气体
2025-08-26 v2 数学物理
math.MP
摘要
本文探讨了在 Dunkl 形式化框架下理想费米气的热力学性质。该形式化通过包含反射对称微分算子来Incorporate deformation effects。我们将 creation 和 annihilation operators 重新表述，leading to modified expressions for the fundamental thermodynamic quantities while preserving the underlying Fermi Dirac statistics。我们推导了主要热力学量的修改表达式。在非极限和极限情况下，我们考察了 Dunkl 参数对内能、Helmholtz 自由能、熵和热容的影响。此外，我们分析了 Dunkl 变形如何影响等温压缩性、粒子平均速度以及 Pauli 磁性。
引用
@article{arxiv.2508.11806,
title = {Ideal Fermi gas in the Dunkl formalism},
author = {Djamel Eddine Zenkhri and Abdelhakim Benkrane},
journal= {arXiv preprint arXiv:2508.11806},
year = {2025}
}
备注
We request withdrawal due to fundamental errors in our formulation. The paper mistakenly applies bosonic commutation relations to fermions and contains mathematical inaccuracies (e.g., Eq. (4)). To prevent confusion, we will revise and resubmit later