caa a22 4500 469035560 CHVBK 20180323132755.0 cr unu---uuuuu 170328e19920501xx s 000 0 eng 10.1007/BF01018846 doi (NATIONALLICENCE)springer-10.1007/BF01018846 Quadratic algebras and dynamics in curved spaces. I. Oscillator [Elektronische Daten] [Ya. Granovskii, A. Zhedanov, I. Lutsenko] The dynamical symmetry of a three-dimensional oscillator in a space of constant curvature is described by three operators formed from the components of the Fradkin-Higgs tensor and the generators of the quadratic Racah algebraQR(3). This algebra makes it possible to find all dynamical characteristics of the problem: the spectrum, degeneracy of the energy levels, and the overlap coefficients of the wave functions in different coordinate systems. The algebra that generates the spectrum is constructed and found to be the quadratic Jacobi algebraQJ(3). Plenum Publishing Corporation, 1992 Granovskii Ya aut Zhedanov A. aut Lutsenko I. aut Theoretical and Mathematical Physics Kluwer Academic Publishers-Plenum Publishers 91/2(1992-05-01), 474-480 0040-5779 91:2<474 1992 91 11232 https://doi.org/10.1007/BF01018846 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF01018846 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 91/2(1992-05-01), 474-480 0040-5779 91:2<474 1992 91 11232 Metadata rights reserved Springer special CC-BY-NC licence nationallicence SWISSBIB 469035374 BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer