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Advances in High Energy Physics
Volume 2011, Article ID 458087, 6 pages
http://dx.doi.org/10.1155/2011/458087
Research Article

Approximate Solutions of Klein-Gordon Equation with Kratzer Potential

1Physics Department, Shahrood University of Technology, P.O. Box 3619995161-316, Shahrood, Iran
2Computer Engineering Department, Shahrood University of Technology, Shahrood, Iran
3Department of Basic Sciences, Garmsar Branch, Islamic Azad University, Garmsar, Iran

Received 17 March 2011; Revised 26 June 2011; Accepted 1 August 2011

Academic Editor: A. Petrov

Copyright © 2011 H. Hassanabadi 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.

Linked References

  1. W. C. Qiang, “Bound states of the Klein-Gordon and Dirac equations for potential V(r)=Ar2Br1,” Chinese Physics, vol. 12, no. 10, pp. 1054–1057, 2003. View at Publisher · View at Google Scholar · View at Scopus
  2. Y. F. Cheng and T. Q. Dai, “Exact solution of the Schrödinger equation for the modified Kratzer potential plus a ring-shaped potential by the Nikiforov-Uvarov method,” Physica Scripta, vol. 75, no. 3, pp. 274–277, 2007. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  3. C. Berkdemir, A. Berkdemir, and J. Han, “Bound state solutions of the Schrödinger equation for modified Kratzer's molecular potential,” Chemical Physics Letters, vol. 417, no. 4–6, pp. 326–329, 2006. View at Publisher · View at Google Scholar · View at Scopus
  4. S. M. Ikhdair and R. Sever, “Exact solutions of the modified kratzer potential plus ring-shaped potential in the D-dimensional Schrödinger equation by the nikiforovuvarov method,” International Journal of Modern Physics C, vol. 19, no. 2, pp. 221–235, 2008. View at Publisher · View at Google Scholar
  5. R. J. Leroy and R. B. Bernstein, “Dissociation energy and long-range potential of diatomic molecules from vibrational spacings of higher levels,” The Journal of Chemical Physics, vol. 52, no. 8, pp. 3869–3879, 1970. View at Google Scholar · View at Scopus
  6. C. L. Pekeris, “The rotation-vibration coupling in diatomic molecules,” Physical Review, vol. 45, no. 2, pp. 98–103, 1934. View at Publisher · View at Google Scholar · View at Scopus
  7. C. Y. Chen and S. H. Dong, “Exactly complete solutions of the Coulomb potential plus a new ring-shaped potential,” Physics Letters. A, vol. 335, no. 5-6, pp. 374–382, 2005. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  8. B. K. Bagchi, Supersymmetry in Quantum and Classical Mechanics, vol. 116, Chapman and Hall, Boca Raton, Fla, USA, 2001.
  9. F. Cooper, A. Khare, and U. Sukhatme, “Supersymmetry and quantum mechanics,” Physics Reports, vol. 251, no. 5-6, pp. 267–385, 1995. View at Publisher · View at Google Scholar
  10. G. Junker, Supersymmetric Methods in Quantum and Statistical Physics, Springer, Berlin, Germany, 1996.
  11. A. F. Nikiforov and V. B. Uvarov, Special Functions of Mathematical Physics, Birkhäuser, Basel, Germany, 1988.
  12. R. De, R. Dutt, and U. Sukhatme, “Mapping of shape invariant potentials under point canonical transformations,” Journal of Physics A: Mathematical and General, vol. 25, no. 13, pp. L843–L850, 1992. View at Publisher · View at Google Scholar
  13. A. Gangopadhyaya, P. K. Panigrahi, and U. P. Sukhatme, “Inter-relations of solvable potentials,” Helvetica Physica Acta, vol. 67, no. 4, pp. 363–368, 1994. View at Google Scholar · View at Zentralblatt MATH
  14. A. Gangopadhyaya, J. V. Mallow, C. Rasinariu, and U. P. Sukhatme, Supersymmetric Quantum Mechanics: An Introduction.
  15. A. Lahiri, P. K. Roy, and B. Bagchi, “Supersymmetry in atomic physics and the radial problem,” Journal of Physics. A. Mathematical and General, vol. 20, no. 12, pp. 3825–3832, 1987. View at Publisher · View at Google Scholar
  16. A. D. Alhaidari, “Solutions of the nonrelativistic wave equation with position-dependent effective mass,” Physical Review A, vol. 66, no. 4, pp. 421161–421167, 2002. View at Google Scholar
  17. O. Mustafa and M. Znojil, “PT-symmetric pseudo-perturbation recipe: an imaginary cubic oscillator with spikes,” Journal of Physics A: Mathematical and General, vol. 35, no. 42, pp. 8929–8942, 2002. View at Publisher · View at Google Scholar · View at Scopus
  18. M. Znojil, “PT-symmetric harmonic oscillators,” Physics Letters. A, vol. 259, no. 3-4, pp. 220–223, 1999. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  19. O. Mustafa, “Energy-levels crossing and radial Dirac equation: supersymmetry and quasi-parity spectral signatures,” International Journal of Theoretical Physics, vol. 47, no. 5, pp. 1300–1311, 2008. View at Publisher · View at Google Scholar
  20. O. Mustafa and S. H. Mazharimousavi, “d-dimensional generalization of the point canonical transformation for a quantum particle with position-dependent mass,” Journal of Physics. A. Mathematical and General, vol. 39, no. 33, pp. 10537–10547, 2006. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  21. A. D. Alhaidari, H. Bahlouli, and A. Al-Hasan, “Dirac and Klein-Gordon equations with equal scalar and vector potentials,” Physics Letters. A, vol. 349, no. 1–4, pp. 87–97, 2006. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  22. H. Akcay, “Dirac equation with scalar and vector quadratic potentials and Coulomb-like tensor potential,” Physics Letters. A, vol. 373, no. 6, pp. 616–620, 2009. View at Publisher · View at Google Scholar
  23. S. Zarrinkamar, A. A. Rajabi, and H. Hassanabadi, “Dirac equation for the harmonic scalar and vector potentials and linear plus coulomb-like tensor potential; The SUSY approach,” Annals of Physics, vol. 325, no. 11, pp. 2522–2528, 2010. View at Publisher · View at Google Scholar · View at Scopus
  24. A. Lahiri, P. K. Roy, and B. Bagchi, “Supersymmetry and the three-dimensional isotropic oscillator problem,” Journal of Physics A: Mathematical and General, vol. 20, no. 15, article 052, pp. 5403–5404, 1987. View at Publisher · View at Google Scholar · View at Scopus
  25. S.-H. Dong, “Schrödinger equation with the potential V(r)=Ar4+Br3+Cr2+Dr1,” Physica Scripta, vol. 64, no. 4, pp. 273–276, 2001. View at Publisher · View at Google Scholar · View at Zentralblatt MATH