简谐势阱中理想费米气体的热力学性质  

Thermodynamics of Ideal Fermi Gases under a Harmonic Trap

作　　者：王磊[1] WANG Lei(Department of Physics and Electronic Engineering, Heze University, Heze 274015, China)

机构地区：[1]菏泽学院物理与电子工程系,山东菏泽274015

出　　处：《河南师范大学学报（自然科学版）》2016年第5期49-52,59,共5页Journal of Henan Normal University(Natural Science Edition)

基　　金：国家自然科学基金(11504021);山东省高等学校科技计划项目(J15LJ55)

摘　　要：采用Thomas-Fermi半经典近似,研究了任意维简谐势阱中理想费米气体的热力学性质.解析推导出了化学势、费米能和比热的通用表达式,讨论了空间维度和势阱的影响.数值计算了二维和三维费米系统的特征热力学量,与经典极限较好地吻合.Thermodynamic properties of ideal Fermi gases in all kinds of dimensional harmonic traps have been studied by using Thomas-Fermi approximation.The general expressions for the chemical potential,Fermi energy and specific heat were derived.We discussed the influence of space dimension and harmonic trap on thermodynamics.The characteristic thermodynamics of two and three dimensional Fermi systems are numerically calculated,and yield a well agreement with the corresponding limits for classical ones.

关 键 词：简谐势阱 费米气体 热力学性质 

分 类 号：O469[理学—凝聚态物理]