A New Quantization Map
量子物理
2009-11-10 v1 高能物理 - 理论
摘要
In this paper we find a simple rule to reproduce the algebra of quantum observables using only the commutators and operators which appear in the Koopman-von Neumann (KvN) formulation of classical mechanics. The usual Hilbert space of quantum mechanics becomes embedded in the KvN Hilbert space: in particular it turns out to be the subspace on which the quantum positions Q and momenta P act irreducibly.
引用
@article{arxiv.quant-ph/0305063,
title = {A New Quantization Map},
author = {D. Mauro},
journal= {arXiv preprint arXiv:quant-ph/0305063},
year = {2009}
}
备注
12 pages, 1 figure, Latex