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arXiv · hep-th/9806198

Moyal Brackets, Star Products and the Generalised Wigner Function

D. B. Fairlie
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Abstract

The Wigner-Weyl- Moyal approach to Quantum Mechanics is recalled, and similarities to classical probability theory emphasised. The Wigner distribution function is generalised and viewed as a construction of a bosonic object, a target space co-ordinate, for example, in terms of a bilinear convolution of two fermionic objects, e.g. a quark antiquark pair. This construction is essentially non-local, generalising the idea of a local current. Such Wigner functions are shown to solve a BPS generalised Moyal-Nahm equation.

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D. B. Fairlie. 1998-06-24. Moyal Brackets, Star Products and the Generalised Wigner Function. https://doi.org/10.1016/s0960-0779(98)00158-1

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