阶梯算符方法在稀薄费米气体热力学性质研究中的应用  

Application of the Ladder Operator Methods in the Research on Thermodynamic Characteres of the Rarefaction Fermi Gas

作　　者：龙姝明[1] 孙彦清[1] 

机构地区：[1]陕西理工学院物理系,陕西汉中723000

出　　处：《河南师范大学学报（自然科学版）》2008年第4期74-76,112,共4页Journal of Henan Normal University(Natural Science Edition)

基　　金：陕西省自然科学基础研究计划(2006A15);和陕西省教育厅专项科研计划(06JK326)

摘　　要：从量子力学算符代数关系出发,引入阶梯算符将系统能量算符表达式简化,导出非对易相空间二维谐振势场中稀薄费米气体的能级公式.给出稀薄费米气体的化学势、内能和热容量依赖于非对易效应参数λ的函数关系.探讨非对易相空间效应对稀薄费米气体热力学性质的影响.Based on the operator algebra relation of the quantum mechanics, the paper introduces the Ladder Operator to simplify energy operator expression of system and educes the Energy Level Formula of the Rarefaction Fermi Gas in the two- dimensional harmonic oscillator potential field in the noncommutative phase space（NCS）. The function relations are given and the chemicial potential , internal energy and heat capacity of the rarefaction Fermi gas depend on noncommutative effect parameter λ, the influnce degree of the system thermodynamic characteres which influenced by noncommutative phase space efect is also discussed.

关 键 词：阶梯算符 谐振势 非对易相空间 费米气体 热力学性质 

分 类 号：O413.1[理学—理论物理] O414.2[理学—物理]