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Recurrence in Quantum Mechanics

Rocco Duvenhage
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Abstract

We first compare the mathematical structure of quantum and classical mechanics when both are formulated in a C*-algebraic framework. By using finite von Neumann algebras, a quantum mechanical analogue of Liouville's theorem is then proposed. We proceed to study Poincare recurrence in C*-algebras by mimicking the measure theoretic setting. The results are interpreted as recurrence in quantum mechanics, similar to Poincare recurrence in classical mechanics.

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Rocco Duvenhage. 2002-02-04. Recurrence in Quantum Mechanics. https://doi.org/10.1023/a%3A1013217415677

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