A Novel Approach to Noncommutativity in Planar Quantum Mechanics
classification
✦ hep-th
cond-mat
keywords
noncommutativitymechanicsplanarquantumalgebraanalogousanalysisapproach
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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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