Wavepackets and Duality in Noncommutative Planar Quantum Mechanics

dc.creatorGhosh, Subir
dc.date2004-05-20
dc.date2004-07-29
dc.date.accessioned2026-07-07T04:16:57Z
dc.date.available2026-07-07T04:16:57Z
dc.descriptionEffects of noncommutativity are investigated in planar quantum mechanics in the coordinate representation. Generally these issues are addressed by converting to the momentum space. In the first part of the work we show noncommutative effects in a Gaussian wavepacket through the broadening of its width. We also rederive results on *-product of Gaussian wavepackets. In the second part, we construct a "Master" model for a noncommutative harmonic oscillator by embedding it in an extended space. Different gauge choices leading to different forms of noncommutativity, (such as between coordinates only, between momenta only or noncommutativity of a more general kind), can be studied in a unified and systematic manner. Thus the dual nature of these theories are also revealed.
dc.descriptionLatex, The first part on wave packets is expanded and rewritten, Results and conclusions are unchanged
dc.identifierhttps://arxiv.org/abs/hep-th/0405177
dc.identifierhttp://arxiv.org/abs/hep-th/0405177
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/52568
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Physics
dc.titleWavepackets and Duality in Noncommutative Planar Quantum Mechanics
dc.typetext

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