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A comparative review of four formulations of noncommutative quantum mechanics

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.

preprint2016arXivOpen access
Laure Gouba
math-phmath.MPhep-th
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Laure Gouba

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