Weyl-Wigner-Moyal formalism for Fermi classical systems

Journal Article · Fri Feb 15 00:00:00 EST 2008 · Annals of Physics (New York)

DOI:https://doi.org/10.1016/j.aop.2007.04.004· OSTI ID:21077680

Galaviz, I. ^[1]; Garcia-Compean, H. ^[2]; Przanowski, M. ^[3]; Turrubiates, F.J. ^[4]

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1. Departamento de Fisica, Centro de Investigacion y de Estudios, Avanzados del IPN, P.O. Box 14-740, 07000 Mexico D.F. (Mexico), E-mail: [e-mail]
2. Departamento de Fisica, Centro de Investigacion y de Estudios Avanzados del IPN, P.O. Box 14-740, 07000 Mexico D.F., Mexico and Centro de Investigacion y de Estudios Avanzados del IPN, Unidad Monterrey Cerro de las Mitras 2565, cp. 64060, Col. Obispado, Monterrey N.L. (Mexico), E-mail: [e-mail]
3. Institute of Physics, Technical University of Lodz, Wolczanska 219, 93-005, Lodz (Poland), E-mail: [e-mail]
4. Departamento de Fisica, Escuela Superior de Fisica y Matematicas del IPN, Unidad Adolfo Lopez Mateos, Edificio 9, 07738 Mexico D.F. (Mexico), E-mail: [e-mail]

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 *-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.

• OSTI ID: 21077680
• Journal Information: Annals of Physics (New York), Vol. 323, Issue 2; Other Information: DOI: 10.1016/j.aop.2007.04.004; PII: S0003-4916(07)00048-6; Copyright (c) 2007 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved; Country of input: International Atomic Energy Agency (IAEA); ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
DEGREES OF FREEDOM
FERMIONS
FUNCTIONS
OSCILLATORS
QUANTIZATION
QUANTUM MECHANICS
SUPERSYMMETRY
WIGNER DISTRIBUTION