Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-08-16
Chin.Phys.Lett. 23 (2006) 10
Physics
High Energy Physics
High Energy Physics - Theory
6 pages, no figures
Scientific paper
We show that restricting the states of a charged particle to the lowest Landau level introduces noncommutativity between general curvilinear coordinate operators. The cartesian, circular cylindrical and spherical polar coordinates are three special cases of our quite general method. The connection between U(1) gauge fields defined on a general noncommuting curvilinear coordinates and fluid mechanics is explained. We also recognize the Seiberg-Witten map from general noncommuting to commuting variables as the quantum correspondence of the Lagrange to Euler map in fluid mechanics.
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