A comparative review of four formulations of noncommutative quantum mechanics
arXiv:1603.07176 · doi:10.1142/S0217751X16300258
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.
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
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- Noncommutativity in Configuration Space Induced by A Conjugate Magnetic Field in Phase Space