Extended Space Duality in the Noncommutative Plane
Abstract
Non-Commutative (NC) effects in planar quantum mechanics are investigated. We have constructed a Master model for a noncommutative harmonic oscillator by embedding it in an extended space, following the Batalin-Tyutin bt prescription. Different gauge choices lead to distinct NC structures, such as NC coordinates, NC momenta or noncommutativity of a more general kind. In the present framework, all of these can be studied in a unified and systematic manner. Thus the dual nature of theories having different forms of noncommutativity is also revealed.
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