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

doi:10.16854 /j.cnki.1000-0712.180070

2018 , Vol. 37 >Issue 10: 1 - 3

DOI: https://doi.org/10.16854 /j.cnki.1000-0712.180070

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

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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 date: 2018-01-31

Revised date: 2018-04-27

Online published: 2018-10-20

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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

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XU Ye-jun1 , DING Xiu-chun1 , HE Rui2 . An unified approach to derive the Fokker-Planck equation for distribution functions of three types in quantum phase space[J]. College Physics, 2018 , 37(10) : 1 -3 . DOI: 10.16854 /j.cnki.1000-0712.180070

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