Abstract
The hierarchy equations governing the evolution of one-body Green functions can rigorously be transformed into closed equations in the bulk limit. The latter equations are non-markoffian and explicitly depend on the particle correlation to be given at an initial time. For the purpose of calculating a transport coefficient, the closed equations are shown to be greatly simplified into general kinetic equations without the loss of rigour. The kinetic equations are markoffian, and no longer depend on the initial condition. They provide a firm basis from which one can rigorously calculate linear and nonlinear transport coefficients of an imperfect quantum gas.
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