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Open Quantum Systems Decoherence

An update on the classical and quantum harmonic oscillators on the sphere and the hyperbolic plane in polar coordinates

arXiv

Authors: C. Quesne

Year

2014

Paper ID

46394

Status

Preprint

Abstract Read

~2 min

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Abstract

A simple derivation of the classical solutions of a nonlinear model describing a harmonic oscillator on the sphere and the hyperbolic plane is presented in polar coordinates. These solutions are then related to those in cartesian coordinates, whose form was previously guessed. In addition, the nature of the classical orthogonal polynomials entering the bound-state radial wavefunctions of the corresponding quantum model is identified.

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A simple derivation of the classical solutions of a nonlinear model describing a harmonic oscillator on the sphere and the hyperbolic plane is presented in polar coordinates.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1411.4853 [2] arXiv https://arxiv.org/abs/1411.4853 [3] Publisher https://arxiv.org/abs/1411.4853

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