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首页> 美国政府科技报告 >Time-Dependent Projection-Operator Approach to Master Equations for Coupled Systems. II. Systems with Correlations.
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Time-Dependent Projection-Operator Approach to Master Equations for Coupled Systems. II. Systems with Correlations.

机译：耦合系统主方程的时间依赖投影算子方法。 II。具有相关性的系统。

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A previous paper showed how time-dependent projection operators may be employed to enable the Nakajima-Zwanzig projection-operator technique for deriving exact master equations to deal efficiently with two or more coupled classical or quantum systems, neither of which is reservoir like. Now considered in detail the case where the relevant part of the classical-system probability-density function (PDF) or quantum-system density operator (DO) is a product of the PDF's or DO's for the separate subsystems, and we applied the techniques developed to problems in quantum optics and in the kinetic theory of dilute nonideal gases. This paper makes the time-dependent projection-operator approach useful for a greater variety of systems by allowing the relevant part of the PDF or DO to include correlations between two of the interacting subsystems. This extension allows a description of the dynamics of strongly interacting systems in a low degree of approximation while avoiding the use of infinite resummations.

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