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Group theory and quasiprobability integrals of Wigner functions

2003
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Journal of Physics A: Mathematical and General
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The integral of the Wigner function of a quantum mechanical system over a region or its boundary in the classical phase plane, is called a quasiprobability integral. Unlike a true probability integral, its value may lie outside the interval [0,1]. It is characterized by a corresponding selfadjoint operator, to be called a region or contour operator as appropriate, which is determined by the characteristic function of that region or contour. The spectral problem is studied for commuting families

doi:10.1088/0305-4470/36/20/102
fatcat:6yy5mgf6tfamlk4maoml2ilhyy