Crypto-Harmonic Oscillator in Higher Dimensions: Classical and Quantum Aspects

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dc.creatorGhosh, Subir
dc.creatorMajhi, Bibhas Ranjan
dc.date2007-09-27
dc.date2008-01-28
dc.date.accessioned2026-07-07T12:13:46Z
dc.date.available2026-07-07T12:13:46Z
dc.descriptionWe study complexified Harmonic Oscillator models in two and three dimensions. Our work is a generalization of the work of Smilga \cite{sm} who initiated the study of these Crypto-gauge invariant models that can be related to $PT$-symmetric models. We show that rotational symmetry in higher spatial dimensions naturally introduces more constraints, (in contrast to \cite{sm} where one deals with a single constraint), with a much richer constraint structure. Some common as well as distinct features in the study of the same Crypto-oscillator in different dimensions are revealed. We also quantize the two dimensional Crypto-oscillator.
dc.description17 pages, Latex, enlarges version, added ref.s., accepted in J.Phys.A, slight alteration in reference section and text, matches journal version
dc.identifierhttps://arxiv.org/abs/0709.4325
dc.identifierhttp://arxiv.org/abs/0709.4325
dc.identifierJ.Phys.A41:065306,2008
dc.identifierdoi:10.1088/1751-8113/41/6/065306
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/210960
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectQuantum Physics
dc.titleCrypto-Harmonic Oscillator in Higher Dimensions: Classical and Quantum Aspects
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