QUANTUM INTEGRABLE SYSTEM RELATED TO SO (2,3) GROUP

QUANTUM INTEGRABLE SYSTEM RELATED TO SO (2,3) GROUP

___

  • Olshanetsky M.A. , Perelomov A.M., Quantum Integrable Systems Related to Lie Algebras., Phys. Rep., 94: 313- 404,1983.
  • Kalnins E.G.,Miller Jr .W., The wave equation , O(2,2) and separation of variables on hyperboloids , Proce. Roy. Socit. Edinburg , 79 A, 227-256, 1977 .
  • Dane C. and,Verdiyev Y.A., Integrable systems of group SO(1,2) and Green functions , J.Math.Phys., 37: 39-60, 1996.
  • Verdiyev Y.A., Quantum integrable systems related with symmetric spaces of the groups U(1,2) and Sp(1,2) and Green’s functions on these spaces , J.Math.Phys., 36: 320-333, 1995 .
  • Verdiyev Y.A., Representation theory of the group SO(p,q),U(p,q), p≤q and plane waves, integrable quantum systems, Green functions,Hadronic J. Suppl.,Vol 16: 263-367,2001.
  • Verdiyev Y.A.,Plane waves integrable quantum systems Green functions and groups SO(p,q), p≤q J. Phys. Math. A, Vol.30: 4089-4107, 1997.
  • Vilenkin N.Ya.,Klimyk A.U., Representation of Lie Groups and Special Functions. Vol. I, II, III, Kluwer Academic Publ. London, 1991.
  • Bateman Manuscript, edited by A.Erdelyi , Higher Transcendent Functions , Vol I,II, McGraw-Hill , New York, 1953.
  • Gradsteyn.I.S.,Rhyzik I.M.,Tables of Integrals , Series and Products,Academic, New York, 1969.