Time Evolution in Macroscopic Systems. I. Equations of Motion |
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Authors: | W T Grandy Jr |
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Institution: | (1) Department of Physics & Astronomy, University of Wyoming, Laramie, Wyoming, 82071 |
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Abstract: | Time evolution of macroscopic systems is re-examined primarily through further analysis and extension of the equation of motion for the density matrix (t). Because contains both classical and quantum-mechanical probabilities it is necessary to account for changes in both in the presence of external influences, yet standard treatments tend to neglect the former. A model of time-dependent classical probabilities is presented to illustrate the required type of extension to the conventional time-evolution equation, and it is shown that such an extension is already contained in the definition of the density matrix. |
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Keywords: | nonequilibrium statistical mechanics time-dependent probabilities |
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