三维理想费米气体的热力学性质

李志阳

【摘 要】本文研究三维理想费米气体的热力学性质，应用局域密度近似（LDA）方法求出处于幂函数型外势下的三维理想费米气体的总能E，费米能，高低温极限下的化学势和热容量C的表达式。讨论外势对三维理想费米气体热力学性质的影响。并对自由费米气体和外势下理想费米气体的热力学性质进行比較。

【关键词】费米气体;幂函数型外势;局域密度近似

中图分类号： O414.1 文献标识码： A文章编号： 2095-2457（2019）28-0111-002

DOI：10.19694/j.cnki.issn2095-2457.2019.28.048

【Abstract】Thermodynamic properties of an Ideal Fermi Gas are studied basing on the local density approximation. The total energy E，Fermi energy，chemical potential  and heat capacity C in the high-and low-temperature approximations in a Three-Dimensional Space trapped in a generic power-law potential are derived.The influence of thermodynamic properties of an Ideal Fermi Gas by the power-law potential are discussed.And the thermodynamic properties of a freedom Fermi Gas are compared with an ideal Fermi Gas trapped in a generic power-law potential by using the list.

【Key words】Fermi gas; Generic power-law potential; Local density approximation