Moyal Brackets, Star Products and the Generalised Wigner Function

Details Moyal Brackets, Star Products and the Generalised Wigner Function Moyal Brackets, Star Products and the Generalised Wigner Function

1998-06-24

arxiv.org/abs/hep-th/9806198v1

Physics

High Energy Physics

High Energy Physics - Theory

7 pages, LaTeX, to appear in special issue of the J. of Chaos, Solitons and Fractals

Scientific paper

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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