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arXiv · hep-th/0106280

A Novel Approach to Noncommutativity in Planar Quantum Mechanics

Rabin Banerjee
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Abstract

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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Rabin Banerjee. 2002-04-23. A Novel Approach to Noncommutativity in Planar Quantum Mechanics. https://doi.org/10.1142/s0217732302006977

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