统一推导三种量子相空间分布函数的Fokker-Planck方程  

An unified approach to derive the Fokker-Planck equation for distribution functions of three types in quantum phase space

作　　者：许业军[1] 丁秀春 何锐 XU Ye-jun;DING Xiu-chun;HE Rui(School of Mechanical and Electronic Engineering,Interdisciplinary Research Center of Quantum Information and Photoelectric Information,Chizhou University,Chizhou,Anhui 247000,China;School of Electrical and Photoelectronic Engineering,West Anhui University,Lu’an,Anhui 237012,China)

机构地区：[1]池州学院机电工程学院量子信息与光电信息交叉研究中心,安徽池州247000 [2]皖西学院电气与光电工程学院,安徽六安237012

出　　处：《大学物理》2018年第10期1-3,共3页College Physics

基　　金：国家自然科学基金(11704051);安徽省教学研究重点项目(2017XJYXM03);皖西学院自然科学研究重点项目(WXZR201710)资助

摘　　要：通过对含s参数广义Wigner算符进行正规、反正规编序,导出一组新的算符微分关系式,进而提出统一推导量子相空间三种分布函数的Fokker-Planck方程的有效方法.A new set of differential relationship of operators are obtained by normally and anti-normally ordering the generalized Wigner operator with s parameter,and then an unified method is proposed to derive the Fokker-Planck equations for distribution functions of three types in quantum phase space.

关 键 词：FOKKER-PLANCK方程 算符编序 量子统计 

分 类 号：O413.1[理学—理论物理]