Superintegrability, isochronicity, and quantum harmonic behavior
数学物理
2007-05-23 v1 动力系统
math.MP
摘要
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.
关键词
引用
@article{arxiv.math-ph/0310004,
title = {Superintegrability, isochronicity, and quantum harmonic behavior},
author = {Simon Gravel},
journal= {arXiv preprint arXiv:math-ph/0310004},
year = {2007}
}
备注
4 pages