Extended Space Duality in the Noncommutative Plane

Details Extended Space Duality in the Noncommutative Plane Extended Space Duality in the Noncommutative Plane

2004-09-14

arxiv.org/abs/hep-th/0409138v1

Phys.Lett. B601 (2004) 93-98

Physics

High Energy Physics

High Energy Physics - Theory

Slightly enlarged version of only the second part (BT quantization) of hep-th/0405177. To appear in Phys.Lett.B

Scientific paper

10.1016/j.physletb.2004.09.023

Non-Commutative (NC) effects in planar quantum mechanics are investigated. We have constructed a {\it{Master}} model for a noncommutative harmonic oscillator by embedding it in an extended space, following the Batalin-Tyutin \cite{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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