Table of Contents Author Guidelines Submit a Manuscript
Advances in High Energy Physics
Volume 2017 (2017), Article ID 9671816, 24 pages
https://doi.org/10.1155/2017/9671816
Research Article

Approximate Solutions of Schrodinger Equation with Some Diatomic Molecular Interactions Using Nikiforov-Uvarov Method

1Theoretical Physics Group, Department of Physics, University of Uyo, Uyo, Nigeria
2Theoretical Physics Group, Department of Physics, University of Ibadan, Ibadan, Nigeria

Correspondence should be addressed to Ituen B. Okon

Received 7 February 2017; Revised 24 February 2017; Accepted 19 March 2017; Published 30 May 2017

Academic Editor: Saber Zarrinkamar

Copyright © 2017 Ituen B. Okon et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The publication of this article was funded by SCOAP3.

Linked References

  1. J. Y. Seto and J. L. Roy, “Direct potential fit analysis of the X1Σg+ state of Rb2: nothing else will do!,” The Journal of Chemical Physics, vol. 113, no. 8, pp. 3067–3076, 2000. View at Publisher · View at Google Scholar
  2. S. Flügge, Practical Quantum Mechanics, vol. I, Springer, Berlin, Germany, 1994.
  3. S. H. Dong, R. Lemus, and A. Frank, “Ladder operators for the Morse potential,” International Journal of Quantum Chemistry, vol. 86, no. 5, pp. 433–439, 2002. View at Publisher · View at Google Scholar
  4. P. M. Morse, “Diatomic molecules according to the wave mechanics. II. Vibrational levels,” Physical Review, vol. 34, no. 1, pp. 57–64, 1929. View at Publisher · View at Google Scholar
  5. H. Chun-Feng, Z. Zhong-Xiang, and L. I. Yan, “Bound states of the klein-gordon equation with vector and scalar wood-saxon potentials,” Acta Physica Sinica, vol. 8, no. 8, pp. 561–564, 1999. View at Publisher · View at Google Scholar · View at Scopus
  6. S. M. Ikhdair and R. Sever, “A perturbative treatment for the bound states of the Hellmann potential,” Journal of Molecular Structure: THEOCHEM, vol. 809, no. 1–3, pp. 103–113, 2007. View at Publisher · View at Google Scholar · View at Scopus
  7. R. Sever, C. Tezcan, Ö. Yesiltas, and M. Bucurgat, “Exact solution of effective mass Schrödinger equation for the hulthen potential,” International Journal of Theoretical Physics, vol. 47, no. 9, pp. 2243–2248, 2008. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  8. I. B. Okon, E. E. Ituen, O. O. Popoola, and A. D. Antia, “Analytical solutions of Schrodinger equation with Mie-type potential using factorisation method,” International Journal of Recent Advances in Physics, vol. 2, no. 2, pp. 1–7, 2013. View at Google Scholar
  9. G. Chen, “Bound states for Dirac equation with Wood-Saxon potential,” Acta Physica Sinica, vol. 53, no. 3, pp. 680–683, 2004. View at Google Scholar · View at Scopus
  10. V. M. Villalba and C. Rojas, “Bound states of the Klein-Gordon equation in the presence of short range potentials,” International Journal of Modern Physics A, vol. 21, no. 2, pp. 313–325, 2006. View at Publisher · View at Google Scholar · View at Scopus
  11. I. B. Okon, O. O. Popoola, and E. E. Ituen, “Bound state solution to Schrodinger equation with Hulthen plus exponential Coulombic potential with centrifugal potential barrier using parametric Nikiforov-Uvarov method,” International Journal of Recent Advances in Physics, vol. 5, no. 2, 2016. View at Publisher · View at Google Scholar
  12. G. Chen, Z.-D. Chen, and Z.-M. Lou, “Exact bound state solutions of the s-wave Klein-Gordon equation with the generalized Hulthen potential,” Physics Letters. A, vol. 331, no. 6, pp. 374–377, 2004. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  13. V. H. Badalov, H. I. Ahmadov, and S. V. Badalov, “Any l-state analytical solutions of the Klein-Gordon equation for the Woods-Saxon potential,” International Journal of Modern Physics E, vol. 19, no. 7, pp. 1463–1475, 2010. View at Publisher · View at Google Scholar · View at Scopus
  14. A. Arda and R. Sever, “Approximate -state solutions of a spin-0 particle for Woods-Saxon potential,” International Journal of Modern Physics C, vol. 20, no. 4, pp. 651–665, 2009. View at Publisher · View at Google Scholar · View at Scopus
  15. S.-H. Dong, Factorization Method in Quantum Mechanics, vol. 150 of Fundamental Theories of Physics, Springer, Berlin, Germany, 2007. View at MathSciNet
  16. C. Berkdemir, A. S. Berkdemir, and R. Sever, “Systematical approach to the exact solution of the Dirac equation for a deformed form of the Woods-Saxon potential,” Journal of Physics. A. Mathematical and General, vol. 39, no. 43, pp. 13455–13463, 2006. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  17. R. Dutt, K. Chowdhury, and Y. P. Varshni, “An improved calculation for screened Coulomb potentials in Rayleigh-Schrodinger perturbation theory,” Journal of Physics A: Mathematical and General, vol. 18, no. 9, pp. 1379–1388, 1985. View at Publisher · View at Google Scholar · View at Scopus
  18. S. M. Ikhdair and R. Sever, “An alternative simple solution of the sextic anharmonic oscillator and perturbed coulomb problems,” International Journal of Modern Physics C, vol. 18, no. 10, pp. 1571–1581, 2007. View at Publisher · View at Google Scholar · View at Scopus
  19. K. J. Oyewumi, F. O. Akinpelu, and A. D. Agboola, “Exactly complete solutions of the pseudoharmonic potential in N-dimensions,” International Journal of Theoretical Physics, vol. 47, no. 4, pp. 1039–1057, 2008. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  20. H. Hassanabadi, S. Zarrinkamar, and A. A. Rajabi, “Exact solutions of D-dimensional Schrödinger equation for an energy-dependent potential by NU method,” Communications in Theoretical Physics, vol. 55, no. 4, pp. 541–544, 2011. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  21. A. N. Ikot, A. D. Antia, L. E. Akpabio, and A. J. Obu, “Analytic solutions of Schrodinger equation with two-dimensional harmonic potential in cartesian and polar coordinates via Nikiforov-Uvarov method,” Journal of Vectorial Relativity, vol. 6, no. 2, pp. 65–76, 2011. View at Google Scholar
  22. I. B. Okon, C. N. Isonguyo, E. E. Ituen, and A. N. Ikot, “Energy spectrum for some diatomic molecules with generalized manning-rosen potential using supersymmetric quantum mechanics (SUSY),” in Proceedings of the Nigerian Institute of Physics, 2014.
  23. I. B. Okon, O. Popoola, and C. N. Isonguyo, “Exact bound state solution of q-deformed woods-saxon plus modified coulomb potential using conventional Nikiforov-Uvarov method,” International Journal of Recent advances in Physics, vol. 3, no. 4, pp. 29–38, 2014. View at Publisher · View at Google Scholar
  24. I. B. Okon and O. O. Popoola, “Bound state solution of Schrodinger equation with Hulthen plus generalised exponential Coulomb potential using Nikiforov-Uvarov method,” International Journal of Recent Advances in Physics, vol. 4, no. 3, 2015. View at Publisher · View at Google Scholar
  25. C. N. Isonguyo, I. B. Okon, and A. N. Ikot, “Semi-relativistic treatment of Hellmann potential using Supersymmetric Quantum Mechanics,” Journal of the Nigerian Association of Mathematical Physics, vol. 25, no. 2, pp. 121–126, 2013. View at Google Scholar
  26. C. N. Isonguyo, I. B. Okon, A. N. Ikot, and H. Hassanabadi, “Solution of klein gordon equation for some diatomic molecules with new generalized morse-like potential using SUSYQM,” Bulletin of the Korean Chemical Society, vol. 35, no. 12, pp. 3443–3446, 2014. View at Publisher · View at Google Scholar · View at Scopus
  27. R. L. Greene and C. Aldrich, “Variational wave functions for a screened Coulomb potential,” Physical Review A, vol. 14, no. 6, pp. 2363–2366, 1976. View at Publisher · View at Google Scholar · View at Scopus
  28. P. K. Bera, “The exact solutions for the interaction V(r) = αr 2d-2 - βr d-2 by nikiforov-uvarov method,” Pramana—Journal of Physics, vol. 78, no. 5, pp. 667–677, 2012. View at Publisher · View at Google Scholar · View at Scopus
  29. S. M. Ikhdair and R. Sever, “Relativistic and nonrelativistic bound states of the isotonic oscillator by Nikiforov-Uvarov method,” Journal of Mathematical Physics, vol. 52, no. 12, Article ID 122108, 2011. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  30. H. Fakhri and J. Sadeghi, “Supersymmetry approaches to the bound states of the generalized Woods-Saxon potential,” Modern Physics Letters A, vol. 19, no. 8, pp. 615–625, 2004. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  31. K. Khounfais, T. Boudjedaa, and L. Chetouani, “Scattering matrix for Feshbach-Villars equation for spin 0 and 1/2: Woods-Saxon potential,” Czechoslovak Journal of Physics, vol. 54, no. 7, pp. 697–710, 2004. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  32. A. Arda and R. Sever, “Approximate analytical solutions of a two-term diatomic molecular potential with centrifugal barrier,” Journal of Mathematical Chemistry, vol. 50, no. 7, pp. 1920–1930, 2012. View at Publisher · View at Google Scholar
  33. M. Hamzavi, M. Movahedi, K.-E. Thylwe, and A. A. Rajabi, “Approximate analytical solution of the yukawa potential with arbitrary angular momenta,” Chinese Physics Letters, vol. 29, no. 8, Article ID 080302, 2012. View at Publisher · View at Google Scholar · View at Scopus
  34. J. G. Esteve, F. Falceto, and C. Garacia, “Generalization of the Hellmann-Feynman theorem,” Physics Letters. A, vol. 374, no. 6, pp. 819–822, 2010. View at Publisher · View at Google Scholar · View at MathSciNet