Grassmann phase space theory for fermions

被引：3

作者：

Dalton, Bryan J. ^{[1
]}

Jeffers, John ^{[2
]}

Barnett, Stephen M. ^{[3
]}

机构：

[1] Swinburne Univ Technol, Ctr Quantum & Opt Sci, Melbourne, Vic 3122, Australia

[2] Univ Strathclyde, Dept Phys, Glasgow G4 ONG, Lanark, Scotland

[3] Univ Glasgow, Sch Phys & Astron, Glasgow G12 8QQ, Lanark, Scotland

来源：

FORTSCHRITTE DER PHYSIK-PROGRESS OF PHYSICS | 2017年 / 65卷 / 6-8期

基金：

澳大利亚研究理事会;

关键词：

Fermion phase space theory; Grassmann distribution functions; Fokker-Planck equations; Ito stochastic equations; quantum correlation functions; Fock state populations;

D O I：

10.1002/prop.201600038

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A phase space theory for fermions has been developed using Grassmann phase space variables which can be used in numerical calculations for cold Fermi gases and for large fermion numbers. Numerical calculations are feasible because Grassmann stochastic variables at later times are related linearly to such variables at earlier times via c-number stochastic quantities. A Grassmann field version has been developed making large fermion number applications possible. Applications are shown for few mode and field theory cases.

引用

页数：10

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