caa a22 4500 463196074 CHVBK 20180406164923.0 cr unu---uuuuu 170326e20071201xx s 000 0 eng 10.1007/s10773-007-9425-z doi (NATIONALLICENCE)springer-10.1007/s10773-007-9425-z Superalgebra and Harmonic Oscillator with Constant Positive Curvature [Elektronische Daten] [J. Sadeghi, H. Moayyeri] We study the Schrödinger equation for the isotropic oscillator in three-dimensional space with constant positive curvature. So, the description of solutions for the corresponding Schrödinger equation based on the spherical coordinates. By comparing the Schrödinger equation of harmonic oscillator in constant positive curvature to the associated Jacobi polynomial, we obtain the energy spectrum and wave function. The associated Jacobi equation help us to factorize the Schrödinger equation for the isotropic oscillator. The first order equation from factorization method lead us to define the raising and lowering operators. These operators are supersymmetric structure related to the Hamiltonian partner, thus we obtain the corresponding supercharges. Springer Science+Business Media, LLC, 2007 Superalgebra nationallicence Harmonic oscillator nationallicence Constant curvature nationallicence Raising and lowering operators nationallicence Sadeghi J. Sciences Faculty, Department of Physics, Mazandaran University, PO Box 47415-416, Babolsar, Iran aut Moayyeri H. Sciences Faculty, Department of Physics, Mazandaran University, PO Box 47415-416, Babolsar, Iran aut International Journal of Theoretical Physics Springer US; http://www.springer-ny.com 46/12(2007-12-01), 3115-3121 0020-7748 46:12<3115 2007 46 10773 https://doi.org/10.1007/s10773-007-9425-z text/html Onlinezugriff via DOI 1 review-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10773-007-9425-z text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Sadeghi J. Sciences Faculty, Department of Physics, Mazandaran University, PO Box 47415-416, Babolsar, Iran aut NATIONALLICENCE 700 1- Moayyeri H. Sciences Faculty, Department of Physics, Mazandaran University, PO Box 47415-416, Babolsar, Iran aut NATIONALLICENCE 773 0- International Journal of Theoretical Physics Springer US; http://www.springer-ny.com 46/12(2007-12-01), 3115-3121 0020-7748 46:12<3115 2007 46 10773 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer