大学物理 ›› 2018, Vol. 37 ›› Issue (10): 1-3.doi: 10.16854 /j.cnki.1000-0712.180070

• 教学研究 •    下一篇

统一推导三种量子相空间分布函数的Fokker-Planck 方程

许业军,丁秀春,何锐   

  1. 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
  • 收稿日期:2018-01-31 修回日期:2018-04-27 出版日期:2018-10-20 发布日期:2018-10-20
  • 作者简介:许业军( 1982—) ,男,安徽马鞍山人,池州学院机电工程学院副教授,博士,主要从事量子力学和量子
  • 基金资助:
    国家自然科学基金( 11704051) 、安徽省教学研究重点项目( 2017XJYXM03) 和皖西学院自然科学研究重点项目( WXZR201710) 资助

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

XU Ye-jun1,DING Xiu-chun1,HE Rui2   

  1. 1.School of Mechanical and Electronic Engineering,Interdisciplinary Research Center of Quantum Information and Photoelectric Information,Chizhou University,Chizhou,Anhui 247000,China; 2.School of Electrical and Photoelectronic Engineering,West Anhui University,Lu’an,Anhui 237012,China
  • Received:2018-01-31 Revised:2018-04-27 Online:2018-10-20 Published:2018-10-20

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.

关键词: Fokker-Planck 方程, 算符编序, 量子统计

Abstract: 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.

Key words: Fokker-Planck equation, operator ordering, quantum statistics