Classical limits of quantum mechanics on a non-commutative configuration space
Mathematical Physics
2013-06-14 v2 High Energy Physics - Theory
math.MP
Abstract
We consider a model of non-commutative Quantum Mechanics given by two harmonic oscillators over a non-commutative two dimensional configuration space. We study possible ways of removing the non-commutativity based on the classical limit context known as anti-Wick quantization. We show that removal of non-commutativity from the configuration space and from the canonical operators are not commuting operations.
Cite
@article{arxiv.1302.4284,
title = {Classical limits of quantum mechanics on a non-commutative configuration space},
author = {Fabio Benatti and Laure Gouba},
journal= {arXiv preprint arXiv:1302.4284},
year = {2013}
}
Comments
14 pages, an additional reference, minor corrections