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arXiv · hep-th/0612245

Weyl-Wigner-Moyal Formalism for Fermi Classical Systems

I. Galaviz·H. Garcia-Compean·M. Przanowski·F. J. Turrubiates
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Abstract

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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I. Galaviz, H. Garcia-Compean, M. Przanowski, F. J. Turrubiates. 2006-12-22. Weyl-Wigner-Moyal Formalism for Fermi Classical Systems. https://doi.org/10.1016/j.aop.2007.04.004

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