A novel approach to noncommutativity in planar quantum mechanics

被引：88

作者：

Banerjee, R ^{[1
]}

机构：

[1] SN Bose Natl Ctr Basic Sci, Kolkata 700098, W Bengal, India

来源：

MODERN PHYSICS LETTERS A | 2002年 / 17卷 / 11期

关键词：

noncommutative plane; fluid dynamics;

D O I：

10.1142/S0217732302006977

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

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 is shown as dual description of the same phenomenon. Finally, noncommutativity in a fluid dynamical model, analogous to the lowest Landau level problem, is discussed.

引用

页码：631 / 645

页数：15

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