Grassmann phase space theory for fermions

doi:10.1002/prop.201600038

2016-09-09

B. J. Dalton *

John Jeffers

Stephen M. Barnett

DOI：10.1002/prop.201600038

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摘要

En 中文

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.

Keyword:

Fermion phase space theory

Grassmann distribution functions

Fokker-Planck equations

Ito stochastic equations

quantum correlation functions

Fock state populations

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Fortschritte der Physik-Progress of Physics

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university of strathclyde

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Swinburne University of Technology

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university of glasgow

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