CLASSICAL SUPERINTEGRABLE SO(P,Q) HAMILTONIAN-SYSTEMS

Authors
CALZADA JA DELOLMO MA RODRIGUEZ MA
Citation
Ja. Calzada et al., CLASSICAL SUPERINTEGRABLE SO(P,Q) HAMILTONIAN-SYSTEMS, Journal of geometry and physics, 23(1), 1997, pp. 14-30
Citations number
26
Categorie Soggetti
Mathematical Method, Physical Science",Mathematics,"Physycs, Mathematical
Journal title
Journal of geometry and physics → ACNP
ISSN journal
03930440
Volume
23
Issue
1
Year of publication
1997
Pages
14 - 30
Database
ISI
SICI code
0393-0440(1997)23:1<14:CSSH>2.0.ZU;2-V
Abstract
A family of superintegrable real Hamiltonian systems exhibiting SO(p,q ) symmetry is obtained by symmetry reduction from free SU(p,q) integra ble Hamiltonian systems. Among them we find Poschl-Teller potentials. The Hamilton-Jacobi equation is solved in a separable coordinate syste m in a generic way for the whole family. We also study the projection of the geodesic flow from the complex to the real systems.