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Trace forms for the generalized Wigner functions

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arxiv quant-ph/9705020 v1 pith:7RLIRWOS submitted 1997-05-12 quant-ph

classification quant-ph
keywords equationsfunctionsgeneralizedwignerconnectingfokker-planckformulasquantum
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abstract

We derive simple formulas connecting the generalized Wigner functions for $s$-ordering with the density matrix, and vice-versa. These formulas proved very useful for quantum mechanical applications, as, for example, for connecting master equations with Fokker-Planck equations, or for evaluating the quantum state from Monte Carlo simulations of Fokker-Planck equations, and finally for studying positivity of the generalized Wigner functions in the complex plane.

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