Interbasis “Sphere—Cylinder” Expansions for the Oscillator in the Three—Dimensional Space of Constant Positive Curvature
In recent years, systems with accidental degeneracy in spaces of constant curvature have been in the focus of attention of many researches due to their nontrivial symmetry.
KeywordsConstant Curvature Jacobi Polynomial Schrodinger Equation Kepler Problem Quadratic Algebra
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- E. Schrödinger. Proc.Irish.Acad. A. 45:9 (1940).Google Scholar
- Yu.A. Kurochkin, V.S. Otchik, Analogue of the Runge–Lenz vector and energy spectrum in the Kepler problem on the three-dimensional sphere, Vesti Akad. Nauk BSSR 3:56 (1983).Google Scholar
- Ya.A. Granovsky, A.S. Zedanov, and I.M. Luzenko, Quadratic algebras and dynamics into the curvature space I. Oscillator, Teor. Math. Phys. 91:207 (1992).Google Scholar
- Ya.A. Granovsky. A.S. Zedanov, and I.M. Luzenko, Quadratic algebras and dynamics into the curvature space I. The Kepler problem, Teor. Math. Phys. 91:397 (1992).Google Scholar
- S. Flügge, “Problems in Quantum Mechanics”, V.l Springer-Verlag, Berlin-Heidelberg-New York, (1971).Google Scholar
- G. Szegö, “Ortogonal Polynomials”, Publisher by the American Mathematical, Society, New York, (1959).Google Scholar
- G. Bateman, A. Erdelyi. “Higher Transcedental Functions”, MC Graw-Hill Book Company, INC. New York-Toronto-London, (1953).Google Scholar
- W.N. Bailey. “Generalized hypergeometric series”. Cambridge Tracts, No 32, Cambridge 1935.Google Scholar
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