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• W2053988930 abstract "In order to overcome the ambiguity problem in the identification of mathematical objects in noncommutative theory with physical observables, a quantum mechanical system coupled to the noncommutative (NC) U(1) gauge field in the noncommutative space is reformulated by making use of the unitarized Seiberg-Witten map, and applied to the Aharonov-Bohm (AB) and Hall effects of the NC U(1) gauge field. Retaining terms only up to linear order in the NC parameter $ensuremath{theta},$ we find that the AB topological phase and the Hall conductivity both have the same formulas as those of the ordinary commutative space with no $ensuremath{theta}$ dependence." @default.
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• W2053988930 date "2004-06-02" @default.
• W2053988930 modified "2023-09-23" @default.
• W2053988930 title "Noncommutative quantum mechanics and the Seiberg-Witten map" @default.
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• W2053988930 doi "https://doi.org/10.1103/physrevd.69.125007" @default.
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