Recurrence in Quantum Mechanics

Details Recurrence in Quantum Mechanics Recurrence in Quantum Mechanics

2002-02-04

arxiv.org/abs/quant-ph/0202023v1

Int. J. Theor. Phys. 41, 45-61 (2002)

Physics

Quantum Physics

18 pages

Scientific paper

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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