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Deformation Quantization for Systems with Fermions

✍ Scribed by Allen C. Hirshfeld; Peter Henselder

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 130 KB
Volume: 302
Category: Article
ISSN: 0003-4916
DOI: 10.1006/aphy.2002.6302

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✦ Synopsis

Deformation quantization, which achieves the passage from classical mechanics to quantum mechanics by the replacement of the pointwise multiplication of functions on phase space by the star product, is a powerful tool for treating systems involving bosonic degrees of freedom, both in quantum mechanics and in quantum field theory. In the present paper we show how these methods may be naturally extended to systems involving fermions. In particular we show how supersymmetric quantum mechanics can be formulated in this approach and consider examples involving both non-relativistic and relativistic systems.

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