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Quantum statistical hierarchy equation in nonequilibrium systems |
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| Authors: | Nobuhiko Mishima Tomio Yamakoshi Petrosky Miwae Yamazaki |
| Affiliation: | (1) Department of Physics, Tokyo Gakugei University, Koganei-shi, Tokyo, Japan;(2) Department of Physics, Science University of Tokyo, Kagurazaka Shinjuku-ku, Tokyo, Japan;(3) Department of Physics, Saitama University, Urawa-shi, Saitama, Japan |
| Abstract: | An extension is given for the Fourier expansion method with the contraction technique, which was introduced by Balescu for quantum statistical systems. This is attained by introducing a diagrammatic method with a concept of moving contraction. Then the hierarchy equation for the Contracted Fourier coefficient of the Wigner distribution function is obtained. As an application, a generalized master equation involvingn-body collision effects and quantum statistical effects is also derived. |
| Keywords: | Wigner distribution function Fourier expansion method quantum statistical hierarchy equation diagrammatic method movable and unmovable contractions |
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