Weyl-Wigner-Moyal Formalism for Fermi Classical Systems

Details Weyl-Wigner-Moyal Formalism for Fermi Classical Systems Weyl-Wigner-Moyal Formalism for Fermi Classical Systems

2006-12-22

arxiv.org/abs/hep-th/0612245v1

Annals Phys.323:267-290,2008

Physics

High Energy Physics

High Energy Physics - Theory

25+1 pages, no figures, revtex4 file

Scientific paper

10.1016/j.aop.2007.04.004

The Weyl-Wigner-Moyal formalism of fermionic classical systems with a finite number of degrees of freedom is considered. This correspondence is studied by computing the relevant Stratonovich-Weyl quantizer. The Moyal $\star$-product, Wigner functions and normal ordering are obtained for generic fermionic systems. Finally, this formalism is used to perform the deformation quantization of the Fermi oscillator and the supersymmetric quantum mechanics.

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