Recurrence in Quantum Mechanics

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.

18 pages

Cited by in corpus (4)

• Characterizing quantum theory in terms of information-theoretic constraints
• The Nature of Information in Quantum Mechanics
• Concentration of quantum equilibration and an estimate of the recurrence time
• On the Carroll-Chen Model