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A General Theory of Phase-Space Quasiprobability Distributions
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A General Theory of Phase-Space Quasiprobability Distributions
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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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Cited by 1 Pith paper
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Quantum Mechanics on Lie Groups: I. Noncommutative Fourier Transforms
A noncommutative Fourier transform isometry-maps L^2(G) to a star-product momentum space, yielding a Poisson summation formula for compact Lie groups.
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