Superintegrability, isochronicity, and quantum harmonic behavior
Mathematical Physics
2007-05-23 v1 Dynamical Systems
math.MP
Abstract
We discuss the properties of superintegrable Hamiltonian systems, in particular those that admit separation of variables in cartesian coordinates. We show that the superintegrability of such potentials is equivalent to the isochronicity of the separated potentials. We use this fact to get a new insight into an old question about the relation between quantum and classical harmonic behavior.
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Cite
@article{arxiv.math-ph/0310004,
title = {Superintegrability, isochronicity, and quantum harmonic behavior},
author = {Simon Gravel},
journal= {arXiv preprint arXiv:math-ph/0310004},
year = {2007}
}
Comments
4 pages