The European Physical Journal H

, Volume 35, Issue 2, pp 201–237

Proof of the ergodic theorem and the H-theorem in quantum mechanics

Translation of: Beweis des Ergodensatzes und des H-Theorems in der neuen Mechanik
  • J. von Neumann
Historical document

DOI: 10.1140/epjh/e2010-00008-5

Cite this article as:
von Neumann, J. EPJ H (2010) 35: 201. doi:10.1140/epjh/e2010-00008-5

Abstract

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.

Supplementary material

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© EDP Sciences and Springer 2010

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  • J. von Neumann

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