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arXiv 1003.2133physics.hist-phcond-mat.stat-mechquant-ph
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Proof of the Ergodic Theorem and the H-Theorem in Quantum Mechanics

John von Neumann

英文摘要:

It is shown how to resolve the apparent contradiction between the macroscopic approach of phase space and the validity of the uncertainty relations. The main notions of statistical mechanics are re-interpreted in a quantum-mechanical way, the ergodic theorem and the H-theorem are formulated and proven (without "assumptions of disorder"), followed by a discussion of the physical meaning of the mathematical conditions characterizing their domain of validity.

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