Weyl–Wigner–Moyal formalism for Fermi classical systems

Weyl–Wigner–Moyal formalism for Fermi classical systems

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 fermio...

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Veröffentlicht in:Annals of physics 2008-02, Vol.323 (2), p.267-290
Hauptverfasser: Galaviz, I., García-Compeán, H., Przanowski, M., Turrubiates, F.J.
Format: Artikel
Sprache:eng
Schlagworte:
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
Deformation quantization
DEGREES OF FREEDOM
Fermionic systems
FERMIONS
FUNCTIONS
OSCILLATORS
Physics
QUANTIZATION
QUANTUM MECHANICS
Quantum theory
SUPERSYMMETRY
WIGNER DISTRIBUTION
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Zusammenfassung: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.
ISSN:0003-4916
1096-035X
DOI:10.1016/j.aop.2007.04.004