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.

引用

页码：1439 / 1447

页数：8

共 27 条

[1] Superintegrable systems with third-order integrals in classical and quantum mechanics
Gravel, S
THEORETICAL AND MATHEMATICAL PHYSICS, 2003, 137 (01) : 1439 - 1447
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