Masterequation,H-theorem and stationary solution for coupled quantum systems |
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Authors: | H Grabert W Weidlich |
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Institution: | 1. Institut für Theoretische Physik der Universit?t Stuttgart, Deutschland
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Abstract: | We extend the Zwanzig projector formalism to coupled systems taking into account the mutual interactions of the reduced density matrices of both systems. In the Born- and Markoff-approximation we end up with a bilinear masterequation for occupation probabilities, in contrast to the usually studied linear equations. We derive theH-theorem for this equation and show that the stationary solution is the canonical or more generally a grand canonical density matrix. |
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