General noncommuting curvilinear coordinates and fluid Mechanics

dc.creatorAlavi, S. A.
dc.date2006-08-16
dc.date.accessioned2026-07-07T07:20:28Z
dc.date.available2026-07-07T07:20:28Z
dc.descriptionWe 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.
dc.description6 pages, no figures
dc.identifierhttps://arxiv.org/abs/hep-th/0608106
dc.identifierhttp://arxiv.org/abs/hep-th/0608106
dc.identifierChin.Phys.Lett. 23 (2006) 10
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/114964
dc.subjectHigh Energy Physics - Theory
dc.titleGeneral noncommuting curvilinear coordinates and fluid Mechanics
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