Quantum statistical hierarchy equation in nonequilibrium systems
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.
Key wordsWigner distribution function Fourier expansion method quantum statistical hierarchy equation diagrammatic method movable and unmovable contractions
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