Extended Space Duality in the Noncommutative Plane
arXiv:hep-th/0409138 · doi:10.1016/j.physletb.2004.09.023
Abstract
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.
Slightly enlarged version of only the second part (BT quantization) of hep-th/0405177. To appear in Phys.Lett.B