A General Theory of Phase-Space Quasiprobability Distributions

Details A General Theory of Phase-Space Quasiprobability Distributions A General Theory of Phase-Space Quasiprobability Distributions

1997-07-03

arxiv.org/abs/quant-ph/9707010v1

J.Phys. A31 (1998) L9-L17

Physics

Quantum Physics

REVTeX, 4 pages. More information on http://www.technion.ac.il/~brif/science.html

Scientific paper

10.1088/0305-4470/31/1/002

We present a general theory of quasiprobability distributions on phase spaces of quantum systems whose dynamical symmetry groups are (finite-dimensional) Lie groups. The family of distributions on a phase space is postulated to satisfy the Stratonovich-Weyl correspondence with a generalized traciality condition. The corresponding family of the Stratonovich-Weyl kernels is constructed explicitly. In the presented theory we use the concept of the generalized coherent states, that brings physical insight into the mathematical formalism.

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