BOUND-STATE SOLUTIONS OF THE SCHRÖDINGER EQUATION WITH WOODS–SAXON PLUS ATTRACTIVE INVERSELY QUADRATIC POTENTIAL VIA PARAMETRIC NIKIFOROV–UVAROV METHOD

Article Details

Benedict Iserom Ita, louis@nanoctr.cn, CAS Key Laboratory for Nanosystem and Hierarchical Fabrication, CAS Centre for Excellence in Nanoscience, National Centre For Nanoscience and Technology, Beijing, China
Nelson Nzeata-Ibe, , 1Physical/Theoretical Chemistry Research Group, Department of Pure and Applied Chemistry, University of Calabar, Calabar, Cross River State, Nigeria
Thomas Odey Magu, , 1Physical/Theoretical Chemistry Research Group, Department of Pure and Applied Chemistry, University of Calabar, Calabar, Cross River State, Nigeria
Louis Hitler, , 1Physical/Theoretical Chemistry Research Group, Department of Pure and Applied Chemistry, University of Calabar, Calabar, Cross River State, Nigeria

Journal: Manila Journal of Science
Volume 11 Issue 1 (Published: 2018-01-01)

Abstract

We study the bound-state solutions of the Schrödinger equation with Woods–Saxon plus attractive inversely quadratic potential using the parametric Nikiforov–Uvarov method. We obtained the bound-state energy eigenvalues and the corresponding normalized eigenfunctions expressed in terms of hypergeometric functions. Two special cases of this potential are discussed. Numerical values of the energy eigenvalues are also computed for some values of n at l = 0 with α = 0.01, 0.03, 0.1, 2, and 5 using python 3.6 programming.

Keywords: Bound-state solutions, Schrödinger equation, Nikiforov–Uvarov method, Woods–Saxon potential, attractive inversely quadratic potential

DOI: https://www.dlsu.edu.ph/wp-content/uploads/pdf/research/journals/mjs/MJS11-2018/volume-1/MJS11-6-Ita-et-al.pdf
  References:

Antia, A.D., Essien, E., Umoren, B, & Eze, C. C. (2015). Approximate solution of the non-relativistic Schrödinger equation with inversely quadratic Yukawa plus mobius square potential via parametric Nikiforov–Uvarov method. Advances in Physics Theories and Application, 44.

Ita, B.I., Ikeuba, A.I., & Obinna, O. (2015). Solution of Schrödinger equation with inversely quadratic Yukawa potential plus Woods–Saxon potential using parametric Nikiforov–Uvarov method. Journals of Advance in Physics, 18(2), 2094–2098.

Ita, B.I., & Ikeuba, A. I. (2015). Solutions to the Klein–Gordon equation with inversely quadratic Yukawa plus inversely quadratic potential using Nikiforov–Uvarov method. Journals of Theoretical Physics and Cryptography, 8.

Ita, B.I., Nyong, B. E., Alobi, N.O., Louis, H., & Magu, T.O. (2016). Bound state solution of the Klein–Gordon equation for modified Echart plus inverse square molecular potential with improved new approximation scheme to centrifugal team. Equatorial Journal of Computational and Theoretical Sciences, 1(1), 55–64.

Ita B.I., Louis, H., Magu, T.O., & Nzeata-Ibe, N.A. (2017). Bound state solutions of Klein–Gordon equation with Woods–Saxon plus attractive inversely quadratic potential via parametric Nikifarov–Uvarov method. WSN, 74, 280–287.

Ita, B.I., Louis, H., Magu, T.O., & Nzeata-Ibe, N.A. (2017). Bound state solutions of the Schrödinger equation with Manning–Rosen plus a class of Yukawa potential using Pekeris-like approximation of the Coulombic term and parametric Nikiforov–Uvarov method. World Scientific News (WSN), 70(2), 312–319.

Louis, H., Ita, B.I., Nyong, B.E., Magu, T.O., Alobi, N.O., & Nzeata-Ibe, N.A. (2016). Approximate solution of the N-dimensional radial Schrödinger equation for Kratzer plus reduced pseudo harmonic oscillator potential within the framework of N-U method. Journal of NAMP, 36(2), 199–204.

Louis, H., Ita, B.I., Nyong, B.E., Magu, T.O., Nzeata-Ibe, N.A., & Barka, S. (2016). Radial solution of the s-wave D-dimensional non-relativistic Schrödinger equation for generalized Manning–Rosen plus Mie-type Nuclei potential within the framework of Nikiforov–Uvarov method. Journal of NAMP, 36(2), 193–198.

Magu, T.O., Ita, B.I, Nyong, B.E, Louis, H. (2017). Radial solution of the s-wave Klein–Gordon equation for generalized Woods–Saxon plus Mie-type potential using Nikiforov–Uvarov method. Journal of Chemical Society of Nigeria, 41(2), 21–26.

  Cited by:
     None...