Journal of the Korean Physical Society

, Volume 71, Issue 5, pp 248–255 | Cite as

Solutions of a generalized anharmonic oscillatory noncentral potential in higher spatial dimensions

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Abstract

A generalized anharmonic oscillatory noncentral potential is presented and the D-dimensional Schrödinger equation for this noncentral potential is examined in hyperspherical coordinates. The Nikiforov-Uvarov (N-U) method is applied to obtain the D-dimensional energy eigenvalues and the corresponding eigenfunctions. The angular/radial wavefunction is expressed in terms of Jacobi/ Laguerre polynomials. Some special cases of this potential model including the Quesne potential and the ring-shaped non-spherical harmonic oscillatory (RNHO) potential are discussed also.

Keywords

Higher-dimensional space Schrödinger equation Anharmonic oscillatory noncentral potential Nikiforov-Uvarov method 
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Copyright information

© The Korean Physical Society 2017

Authors and Affiliations

  1. 1.School of SciencesChang’an UniversityXi’anChina
  2. 2.College of Physics and Information TechnologyShaanxi Normal UniversityXi’anChina

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