Skip to main content
Log in

Analytical solution of N-dimensional Klein-Gordon and Dirac equations with Rosen-Morse potential

  • Regular Article
  • Published:
The European Physical Journal Plus Aims and scope Submit manuscript

Abstract

The solutions of the N-dimensional Klein-Gordon and Dirac wave equations with equal scalar and vector Rosen-Morse potentials are studied. The energy equations and the radial wave functions are derived using the Nikiforov-Uvarov method. The low-dimensional (N = 3 s-wave limits and the variation of the bound-state energies with the dimension and the angular momentum are discussed.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. F. Gross, Relativistic Quantum Mechanics and Field Theory (John Wiley and Sons, 1993).

  2. W. Greiner, Relativistic Quantum Mechanics: Wave Equations, 3rd edition (Springer, Berlin, 2000).

  3. G.C. Hillhouse, J. Mano, A.A. Cowley, R. Neveling, Phys. Rev. C 67, 064604 (2003).

    Article  ADS  Google Scholar 

  4. A.D. Alhaidari, Phys. Rev. Lett. 87, 210405 (2001).

    Article  ADS  Google Scholar 

  5. X. Zou, L.Z. Yi, C.S. Jia, Phys. Lett. A 346, 54 (2005).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  6. Y.F. Diao, L.Z. Yi, C.S. Jia, Phys. Lett. A 332, 157 (2004).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  7. L.Z. Yi, Y.F. Diao, J.Y. Liu, C.S. Jia, Phys. Lett. A 333, 212 (2004).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  8. A. Soylu, O. Bayrak, I. Boztosun, Chin. Phys. Lett. 25, 2754 (2008).

    Article  ADS  Google Scholar 

  9. K.J. Oyewumi, T.T. Ibrahim, S.O. Ajibola, D.A. Ajadi, J. Vectorial Relativ. 5 (03), 19 (2010).

    Google Scholar 

  10. K.J. Oyewumi, C.O. Akoshile, Eur. Phys. J. A 45, 311 (2010).

    Article  ADS  Google Scholar 

  11. C. Berkdemir, Nucl. Phys. A 770, 32 (2006).

    Article  ADS  Google Scholar 

  12. F. Taskin, Int. J. Theor. Phys. 48, 1142 (2009).

    Article  MathSciNet  MATH  Google Scholar 

  13. X.Y. Liu, G.F. Wei, C.Y. Long, Int. J. Theor. Phys. 48, 463 (2009).

    Article  MathSciNet  MATH  Google Scholar 

  14. X.Q. Hu et al., Commun. Theor. Phys. 53, 242 (2010).

    Article  ADS  MATH  Google Scholar 

  15. S.M. Ikhdair, J. Math. Phys. 51, 023525 (2010).

    Article  MathSciNet  ADS  Google Scholar 

  16. F. Yasuk, A. Dumus, I. Boztosun, J. Math. Phys. 47, 082302 (2006).

    Article  MathSciNet  ADS  Google Scholar 

  17. M.M. Nieto, Phys. Lett. A 293, 10 (2002).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  18. M. Gremm, Phys. Lett. B 478, 478 (2000).

    Google Scholar 

  19. Z.Q. Ma et al., Int. J. Mod. Phys. E 13, 597 (2004).

    Article  ADS  Google Scholar 

  20. X.Y. Gu, Z. Ma, S.H. Dong, Phys. Rev. 62, 062715 (2003).

    Google Scholar 

  21. Y. Jiang, J. Phys. A: Math. Gen. 38, 1157 (2005).

    Article  ADS  MATH  Google Scholar 

  22. S.H. Dong, J. Phys. A: Math. Gen. 36, 4977 (2003).

    Article  ADS  MATH  Google Scholar 

  23. R.S. Tutik, J. Phys. A: Math. Gen. 25, L413 (1992).

    Article  MathSciNet  ADS  Google Scholar 

  24. S.M. Ikhdair, R. Sever, Int. J. Mod. Phys. C 19, 1425 (2008).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  25. S.M. Ikhdair, R. Sever, Cent. Eur. J. Phys. 6, 141 (2008).

    Article  Google Scholar 

  26. N. Rosen, P.M. Morse, Phys. Rev. 42, 210 (1932).

    Article  ADS  Google Scholar 

  27. A.D. Alhaidari, J. Phys. A 34, 9827 (2001).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  28. H. Egrifes, D. Demirhan, F. Büyükkiliç, Phys. Scr. 60, 195 (1999).

    Article  ADS  MATH  Google Scholar 

  29. C.S. Jia, S.C. Li, Y. Li, L.T. Sun, Phys. Lett. A 300, 15 (2002).

    Article  MathSciNet  Google Scholar 

  30. N.R. Wallet, Nucl. Phys. A 606, 429 (1996).

    Article  ADS  Google Scholar 

  31. C.B. Compean, M. Kirchbach, Eur. Phys. J. A 33, 1 (2007) arXiv:nucl-th/0610001v1.

    Article  ADS  Google Scholar 

  32. A.F. Nikiforov, V.B. Uvarov, Special functions of Mathematical Physics (Birkhauser, Bassel, 1988).

  33. C. Berkdemir, A. Berkdemir, R. Sever, Phys. Rev. C 72, 027001 (2005).

    Article  ADS  Google Scholar 

  34. A. Berkdemir, C. Berkdemir, R. Sever, Mod. Phys. Lett. A 21, 2087 (2006).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  35. Y.F. Cheng, T.Q. Dai, Phys. Scr. 75, 274 (2007).

    Article  MathSciNet  MATH  Google Scholar 

  36. W.A. Yahya, K.J. Oyewumi, C.O. Akoshile, T.T. Ibrahim, J. Vectorial Relativ. 5 (3), 1 (2010).

    Google Scholar 

  37. Jun Lu, Phys. Scr. 72, 349 (2005).

    Article  ADS  MATH  Google Scholar 

  38. F. Taskin, Int. J. Theor. Phys. 48, 2692 (2009).

    Article  MathSciNet  MATH  Google Scholar 

  39. P.M. Morse, H. Feshbach, Method of Theoretical Physics, Vol. II (McGraw-Hill Inc., 1953).

  40. N.N. Lebedev, Special functions and their applications (Prentice Hall Inc., 1965).

  41. R.H. Landau, Qantum Mechanics II: A Second Course in Quantum Theory (John Wiley and Sons, 1990).

  42. A.D. Alhaidari, H. Bahlouli, A. Al-Hasan, Phys. Lett. A 349, 87 (2006).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  43. P. Alberto, A.S. de Castro, M. Malheiro, Phys. Rev. C 75, 047303 (2007).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to T. T. Ibrahim.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ibrahim, T.T., Oyewumi, K.J. & Wyngaardt, S.M. Analytical solution of N-dimensional Klein-Gordon and Dirac equations with Rosen-Morse potential. Eur. Phys. J. Plus 127, 100 (2012). https://doi.org/10.1140/epjp/i2012-12100-5

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1140/epjp/i2012-12100-5

Keywords

Navigation