caa a22 4500 469035374 CHVBK 20180323132754.0 cr unu---uuuuu 170328e19920601xx s 000 0 eng 10.1007/BF01017335 doi (NATIONALLICENCE)springer-10.1007/BF01017335 Quadratic algebras and dynamics in curved spaces. II. The Kepler problem [Elektronische Daten] [Ya. Granovskii, A. Zhedanov, I. Lutsenko] The symmetry aspects of the Kepler problem in a space of constant negative curvature are considered. It is shown that the algebra of the hidden symmetry reduces to the quadratic Racah algebraQR(3), and this makes it possible to express the coefficients of the overlapping of the wave functions in the spherical and parabolic coordinates in terms of Wilson-Racah polynomials. It is shown that the dynamical symmetry algebra that generates the spectrum is the quadratic Jacobi algebraQJ(3). Its ladder operators permit explicit construction of wave functions in the coordinate representation with the ground state as the starting point. Plenum Publishing Corporation, 1993 Granovskii Ya aut Zhedanov A. aut Lutsenko I. aut Theoretical and Mathematical Physics Kluwer Academic Publishers-Plenum Publishers 91/3(1992-06-01), 604-612 0040-5779 91:3<604 1992 91 11232 https://doi.org/10.1007/BF01017335 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF01017335 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Granovskii Ya aut NATIONALLICENCE 700 1- Zhedanov A. aut NATIONALLICENCE 700 1- Lutsenko I. aut NATIONALLICENCE 773 0- Theoretical and Mathematical Physics Kluwer Academic Publishers-Plenum Publishers 91/3(1992-06-01), 604-612 0040-5779 91:3<604 1992 91 11232 Metadata rights reserved Springer special CC-BY-NC licence nationallicence SWISSBIB 469035374 BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer