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Physical Review A

Note on the quantum recurrence theorem

Lawrence S. Schulman

Published Nov 1, 1978• 73 citations
Publisher

Abstract

An essential step in the proof of the quantum recurrence theorem is shown to follow from the Poincaré recurrence theorem of classical mechanics.Received 30 November 1977DOI:https://doi.org/10.1103/PhysRevA.18.2379©1978 American Physical Society

DOI
10.1103/physreva.18.2379

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An essential step in the proof of the quantum recurrence theorem is shown to follow from the Poincaré recurrence theorem of classical mechanics.Received 30 November 1977DOI:https://doi.org/10.1103/PhysRevA.18.2379©1978 American Physical Society
In the course of preparing lectures on elementary quantum theory the author developed a way of presenting time-independent perturbation theory that seems to have some advantages over more familiar presentations. There is nothing fundamentally new in the method, and if any claim of greater power can be made for the new version, it is at best for situations in which high-order perturbations are of interest. Quantum-field theorists will no doubt recognize the relation of this presentation to much that has been done in their subject recently.