A Novel Approach to Noncommutativity in Planar Quantum Mechanics

Details A Novel Approach to Noncommutativity in Planar Quantum Mechanics A Novel Approach to Noncommutativity in Planar Quantum Mechanics

2001-06-29

arxiv.org/abs/hep-th/0106280v2

Mod.Phys.Lett. A17 (2002) 631

Physics

High Energy Physics

High Energy Physics - Theory

LaTex, 15 pages; Title and interpretation modified. To appear in Mod. Phys. Lett. A

Scientific paper

10.1142/S0217732302006977

Noncommutative algebra in planar quantum mechanics is shown to follow from 't Hooft's recent analysis on dissipation and quantization. The noncommutativity in the coordinates or in the momenta of a charged particle in a magnetic field with an oscillator potential are shown as dual descriptions of the same phenomenon. Finally, noncommutativity in a fluid dynamical model, analogous to the lowest Landau level problem, is discussed.

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