Recurrence in Quantum Mechanics
Quantum Physics
2018-07-02 v1
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.
Cite
@article{arxiv.quant-ph/0202023,
title = {Recurrence in Quantum Mechanics},
author = {Rocco Duvenhage},
journal= {arXiv preprint arXiv:quant-ph/0202023},
year = {2018}
}
Comments
18 pages