On Koopman-von Neumann Waves
Quantum Physics
2009-11-07 v1 High Energy Physics - Theory
Abstract
In this paper we study the classical Hilbert space introduced by Koopman and von Neumann in their operatorial formulation of classical mechanics. In particular we show that the states of this Hilbert space do not spread, differently than what happens in quantum mechanics. The role of the phases associated to these classical "wave functions" is analyzed in details. In this framework we also perform the analog of the two-slit experiment and compare it with the quantum case.
Cite
@article{arxiv.quant-ph/0105112,
title = {On Koopman-von Neumann Waves},
author = {D. Mauro},
journal= {arXiv preprint arXiv:quant-ph/0105112},
year = {2009}
}
Comments
27+1 pages, 2 figures