Nonrelativistic Treatment of Schr¨odinger Particles Under Inversely Quadratic Hellmann Plus Ring-Shaped Potentials

  • A. D. Antia Theoretical Physics Group, Department of Physics, Faculty of Science, University of Uyo
  • E. E. Ituen Theoretical Physics Group, Department of Physics, Faculty of Science, University of Uyo
Keywords: Schr¨odinger wave equation, inversely quadratic Hellmann potential, ring-shaped potential, Nikiforov–Uvarov method, approximation scheme

Abstract

We have solved approximately the Schr¨odinger equation with the inversely quadratic Hellmann plus ring-shaped potential in the framework of the Nikiforov–Uvarov method. The energy eigenvalues and corresponding wave functions of the radial and angular parts are obtained in terms of Jacobi polynomials. In special cases, our result reduces to the cases of three well-known potentials such as the Coulomb potential, inversely quadratic Yukawa potential, and Hartman potential. The energy eigenvalues are evaluated as well. Our numerical results can be useful for other physical systems.

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Published
2018-12-13
How to Cite
Antia, A., & Ituen, E. (2018). Nonrelativistic Treatment of Schr¨odinger Particles Under Inversely Quadratic Hellmann Plus Ring-Shaped Potentials. Ukrainian Journal of Physics, 62(7), 633. https://doi.org/10.15407/ujpe62.07.0633
Section
General problems of theoretical physics

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