Classical superintegrable SO(p,q) Hamiltonian systems

被引：20

作者：

Calzada, JA

delOlmo, MA

Rodriguez, MA

机构：

[1] UNIV COMPLUTENSE MADRID,DEPT FIS TEOR,E-28040 MADRID,SPAIN

[2] UNIV VALLADOLID,DEPT MATEMAT APLICADA INGN,E-47011 VALLADOLID,SPAIN

[3] UNIV VALLADOLID,DEPT FIS TEOR,E-47011 VALLADOLID,SPAIN

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 1997年 / 23卷 / 01期

关键词：

superintegrable Hamiltonian systems; SO(p; q); geodesic flow;

D O I：

10.1016/S0393-0440(96)00043-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A family of superintegrable real Hamiltonian systems exhibiting SO(p,q) symmetry is obtained by symmetry reduction from free SU(p,q) integrable Hamiltonian systems. Among them we find Poschl-Teller potentials. The Hamilton-Jacobi equation is solved in a separable coordinate system in a generic way for the whole family. We also study the projection of the geodesic flow from the complex to the real systems.

引用

页码：14 / 30

页数：17

共 26 条

[11] ON HIGHER SYMMETRIES IN QUANTUM MECHANICS [J].