Crypto-Harmonic Oscillator in Higher Dimensions: Classical and Quantum Aspects
Abstract
We 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 -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.
Cite
@article{arxiv.0709.4325,
title = {Crypto-Harmonic Oscillator in Higher Dimensions: Classical and Quantum Aspects},
author = {Subir Ghosh and Bibhas Ranjan Majhi},
journal= {arXiv preprint arXiv:0709.4325},
year = {2008}
}
Comments
17 pages, Latex, enlarges version, added ref.s., accepted in J.Phys.A, slight alteration in reference section and text, matches journal version