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Convolution identities for quasiprobabilities for Bose functions
Authors:Fritz Haake  Maciej Lewenstein
Institution:(1) Fachbereich Physik der Universität, Gesamthochschule, Postfach 103764, D-4300 Essen, Bundesrepublik Deutschland;(2) Present address: Institute for Theoretical Physics, Polish Academy of Sciences, PL-02-668 Warsaw, Poland
Abstract:We present identities relating the equations of motion of various quasiprobabilities for quantum oscillators. These identities turn out useful for checking the consistency of approximations made in constructing the equations of motion with the basic Bose commutator. Moreover, our identities allow to identify the quasiprobability distributions which have the easiest-to-solve equations of motion.
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