Distribution function in quantal cumulant dynamics |
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| Authors: | Shigeta Yasuteru |
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| Institution: | Department of Physics, Graduate School of Pure and Applied Sciences, University of Tsukuba, Tennodai 1-1-1, Ibaraki 305-8571, Japan. shigeta@comas.frsc.tsukuba.ac.jp |
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| Abstract: | We have derived a quantum distribution function in terms of cumulants that are expectation values of a (anti)symmetric-ordered product of position and momentum fluctuation operators. A second-order approximation leads a Gaussian distribution function, which is positive definite and has proper marginals so that the Shannon entropy can be evaluated. |
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