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

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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

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