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arXiv · 1603.07176

A comparative review of four formulations of noncommutative quantum mechanics

Laure Gouba
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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.

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Laure Gouba. 2016-06-30. A comparative review of four formulations of noncommutative quantum mechanics. https://doi.org/10.1142/s0217751x16300258

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