INTEGRABLE SYSTEMS BASED ON SU(P,Q) HOMOGENEOUS MANIFOLDS

Authors
DELOLMO MA RODRIGUEZ MA WINTERNITZ P
Citation
Ma. Delolmo et al., INTEGRABLE SYSTEMS BASED ON SU(P,Q) HOMOGENEOUS MANIFOLDS, Journal of mathematical physics, 34(11), 1993, pp. 5118-5139
Citations number
52
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Journal of mathematical physics → ACNP
ISSN journal
00222488
Volume
34
Issue
11
Year of publication
1993
Pages
5118 - 5139
Database
ISI
SICI code
0022-2488(1993)34:11<5118:ISBOSH>2.0.ZU;2-T
Abstract
The general theory of the separation of variables in Hamilton-Jacobi a nd Laplace-Beltrami equations on the SU(p,q) hyperboloid is used to in troduce completely integrable Hamiltonian systems on 0(p,q) hyperboloi ds. Each of the q+1 different Cartan subalgebras of su(p,q) leads to a different integrable 0(p,q) potential. Different complete sets of int egrals of motion are obtained for each of the integrable systems.