Superintegrable Systems with Third-Order Integrals in Classical and Quantum Mechanics

被引：0
|
作者：
S. Gravel
机构：
[1] Université de Montréal,CRM
来源：
Theoretical and Mathematical Physics | 2003年 / 137卷
关键词：
integrals of motion; superintegrability; separation of variables;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We review systems in E(2) that are separable in Cartesian coordinates and admit a third-order integral both in quantum mechanics and in classical mechanics. Differences and similarities between those two cases are illustrated by numerous examples. Many of these superintegrable systems are new, and a relation is seen between superintegrable potentials and Painlevé transcendents.
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页码：1439 / 1447
页数：8
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