• Medientyp: E-Artikel
  • Titel: Integrable systems based on SU(p,q) homogeneous manifolds
  • Beteiligte: del Olmo, M. A.; Rodríguez, M. A.; Winternitz, P.
  • Erschienen: AIP Publishing, 1993
  • Erschienen in: Journal of Mathematical Physics, 34 (1993) 11, Seite 5118-5139
  • Sprache: Englisch
  • DOI: 10.1063/1.530346
  • ISSN: 0022-2488; 1089-7658
  • Schlagwörter: Mathematical Physics ; Statistical and Nonlinear Physics
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  • Beschreibung: <jats:p>The general theory of the separation of variables in Hamilton–Jacobi and Laplace–Beltrami equations on the SU(p,q) hyperboloid is used to introduce completely integrable Hamiltonian systems on O(p,q) hyperboloids. Each of the q+1 different Cartan subalgebras of su(p,q) leads to a different integrable O(p,q) potential. Different complete sets of integrals of motion are obtained for each of the integrable systems.</jats:p>