PL EN


Preferences help
enabled [disable] Abstract
Number of results
2017 | 70 | 2 | 312-319
Article title

Bound State Solutions of the Schrӧdinger’s Equation with Manning-Rosen Plus a Class of Yukawa Potential Using Pekeris-like Approximation of the Coulomb Term and Parametric Nikiforov-Uvarov

Content
Title variants
Languages of publication
EN
Abstracts
EN
The solutions of the Schrӧdinger equation with Manning-Rosen plus a class of Yukawa potential (MRCYP) have been presented using the Pekeris-like approximation and parametric Nikiforov-Uvarov (NU) method. The bound state energy eigenvalues and the corresponding un-normalized eigen functions are obtained in terms of Jacobi polynomials. Also, inversely quadratic Yukawa, Yukawa, Manning-Rosen and coulomb potentials have been recovered from the mixed potential and their Eigen values obtained. The Numerical results are computed for some values of n at l = 0 with α = 0.01, 0.1, 2 and 5 using python 3.6 programming, and these results could be applied to molecules moving under the influence of MRYP potential as negative energy eigenvalues obtained indicate a bound state system.
Discipline
Year
Volume
70
Issue
2
Pages
312-319
Physical description
Contributors
author
  • Physical and Theoretical Chemistry Unit, Department of Pure and Applied Chemistry, University of Calabar, Calabar, CRS, Nigeria, iserom2011@yahoo.com
author
  • Physical and Theoretical Chemistry Unit, Department of Pure and Applied Chemistry, University of Calabar, Calabar, CRS, Nigeria
author
  • Physical and Theoretical Chemistry Unit, Department of Pure and Applied Chemistry, University of Calabar, Calabar, CRS, Nigeria
  • Physical and Theoretical Chemistry Unit, Department of Pure and Applied Chemistry, University of Calabar, Calabar, CRS, Nigeria
References
  • [1] Antia, A.D, Essien, E. B Umoren and C. C Eze, Approximate Solution of the non-relativistic Schrodinger Equation with Inversely Quadratic Yukawa Plus Mobius Square Potential Via Parametric Nikiforov-Uvarov Method. Advances in Physics Theories and Application, Vol. 44, (2015)
  • [2] Ita, B.I, A.I Ikeuba, O. Obinna, 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) (2015) 2094-2098
  • [3] Ita, B.I, and A. I. Ikeuba, “Solutions to the Klein-Gordon Equation with Inversely Quadratic Yukawa plus Inversely Quadratic Potential using Nikiforov-Uvarov Method,” Journals of theoretical physics and cryptography, Vol. 8, (2015)
  • [4] Ita, B.I, Nyong, N.O. Alobi, H. Louis and T.O. Magu (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 Sciemces, 1(1) (2016) 55-64.
  • [5] Louis, H, Ita, B.I, Nyong, , T.O Magu, N.O Alobi and N.A Nzeata-ibe, Approximate Solution of the N-Dimensional radial Schrodinger equation for Kratzer plus reduced Pseudoharmonic Oscillator potential within the frame work of N-U Method. J. of NAMP., Vol. 36, No. 2, pp. 199-204 (2016)
  • [6] Louis, H, Ita, B.E Nyong, T.O Magu, N.A Nzeata-ibe and S. Barka, “Radial Solution of the s-wave D-Dimensional Non-relativistic Schrodinger equation for Generalized Manning-Rosen plus Mie-type Nuclei potential wirthin the framework of Nikiforov-Uvarov Method” J. of NAMP., Vol. 36, No. 2, pp 193-198 (2016)
  • [7] Magu, T.O. Ita, B.I, Nyong, B.E, H. Louis, (2017): Radial solution of the s-wave Klein-Gordon equation for generalied wood-saxon plus Mie-type potential using Nikifarov-Uvarov J. Chem. Soc. Nigeria, 41(2) (2017) 21-26
Document Type
short_communication
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.psjd-369aa80b-5cdf-4183-b4e1-20c2b70c1fb5
JavaScript is turned off in your web browser. Turn it on to take full advantage of this site, then refresh the page.