Weyl-Wigner-Moyal formalism for Fermi classical systems

被引：7

作者：

Galaviz, I. ^{[1
]}

Garcia-Compean, H. ^{[1
,2
]}

Przanowski, M. ^{[3
]}

Turrubiates, F. J. ^{[4
]}

机构：

[1] Inst Politecn Nacl, Ctr Invest & Estudios Avanzados, Dept Fis, Mexico City 07000, DF, Mexico

[2] IPN, Ctr Invest & Estudios Avanzados, Unidad Monterrey Cerro Mitras 2565, Monterrey NL 64060, Mexico

[3] Tech Univ Lodz, Inst Phys, PL-93005 Lodz, Poland

[4] IPN, Escuela Super Fis & Matemat, Dept Fis, Unidad Adolfo Lopez Mateos, Mexico City 07738, DF, Mexico

来源：

ANNALS OF PHYSICS | 2008年 / 323卷 / 02期

关键词：

deformation quantization; quantum mechanics; fermionic systems;

D O I：

10.1016/j.aop.2007.04.004

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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 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. (C) 2007 Elsevier Inc. All rights reserved.

引用

页码：267 / 290

页数：24

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