@article{147b7be2ed5e4e96abf0b6c1bcec990c,
title = "Weyl-Wigner-Moyal formalism for Fermi classical systems",
abstract = "The Weyl-Wigner-Moyal formalism of fermionic classical systems with a finite number of degrees of freedom is considered. The Weyl correspondence is studied by computing the relevant Stratonovich-Weyl quantizer. The Moyal {black 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.",
keywords = "Deformation quantization, Fermionic systems, Quantum mechanics",
author = "I. Galaviz and H. Garc{\'i}a-Compe{\'a}n and M. Przanowski and Turrubiates, {F. J.}",
note = "Funding Information: It is a pleasure to thank G. Dito and D. Sternheimer for stimulating comments and suggestions. This work was supported in part by CONACyT M{\'e}xico Grants 41993-F and 45713-F. I.G. wish to thank Cinvestav, Unidad Monterrey for its hospitality where part of this work was done. The research of I.G. is supported by a CONACyT graduate fellowship. F.T. wants to thank the Institut de Math{\'e}matiques de Bourgogne (France) for their warm hospitality. F.T. was partially supported by a postdoctoral fellowship from the R{\'e}gion de Bourgogne.",
year = "2008",
month = feb,
doi = "10.1016/j.aop.2007.04.004",
language = "Ingl{\'e}s",
volume = "323",
pages = "267--290",
journal = "Annals of Physics",
issn = "0003-4916",
number = "2",
}