Weyl-Wigner-Moyal Formalism for Fermi Classical Systems
I. Galaviz, H. Garcia-Compean, M. Przanowski, F. J. Turrubiates
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 -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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