Superintegrable models on Riemannian surfaces of revolution with integrals of any integer degree (I) |
| |
Authors: | Galliano Valent |
| |
Institution: | 1.Laboratoire de Physique Mathématique de Provence,Aix-en-Provence,France |
| |
Abstract: | We present a family of superintegrable (SI) systems which live on a Riemannian surface of revolution and which exhibit one linear integral and two integrals of any integer degree larger or equal to 2 in the momenta. When this degree is 2, one recovers a metric due to Koenigs.The local structure of these systems is under control of a linear ordinary differential equation of order n which is homogeneous for even integrals and weakly inhomogeneous for odd integrals. The form of the integrals is explicitly given in the so-called “simple” case (see Definition 2). Some globally defined examples are worked out which live either in H2 or in R2. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|