A comparative review of four formulations of noncommutative quantum mechanics
High Energy Physics - Theory
2016-07-01 v2 Mathematical Physics
math.MP
Abstract
Four formulations of quantum mechanics on noncommutative Moyal phase spaces are reviewed. These are the canonical, path-integral, Weyl-Wigner and systematic formulations. Although all these formulations represent quantum mechanics on a phase space with the same deformed Heisenberg algebra, there are mathematical and conceptual differences which we discuss.
Keywords
Cite
@article{arxiv.1603.07176,
title = {A comparative review of four formulations of noncommutative quantum mechanics},
author = {Laure Gouba},
journal= {arXiv preprint arXiv:1603.07176},
year = {2016}
}
Comments
14 pages, change of the title, minor modifications of the abstract and the introduction, additional references. Published in International Journal of Modern Physics A, World Scientific Publishing Compagny. arXiv admin note: text overlap with arXiv:hep-th/0611257, arXiv:0709.3357 by other authors