Skip to main content
Log in

Analytical Solution of the Klein–Fock–Gordon Equation for the Rosen–Morse Potential

  • Published:
Russian Physics Journal Aims and scope

With the help of a successful scheme for overcoming difficulties arising for l ≠ 0 in the centrifugal part of the Rosen–Morse potential with bound states, a solution of the modified Klein–Fock–Gordon equation is found. The energy eigenvalues and the corresponding radial wave functions are found for an arbitrary value of the orbital quantum number ( l ≠ 0 ).

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. W. Greiner, Relativistic Quantum Mechanics, Springer, Berlin (2000).

    MATH  Google Scholar 

  2. V. G. Bagrov and D. M. Gitman, Exact Solutions of Relativistic Wave Equations, Kluwer Academic Publishers, Dordrecht (1990).

    Book  Google Scholar 

  3. H. Feshbach and F. Villars, Rev. Mod. Phys., 30, 24 (1958).

    Article  ADS  MathSciNet  Google Scholar 

  4. M. Znojil, J. Phys. A: Math. Gen., 14, 383 (1981).

    Article  ADS  Google Scholar 

  5. F. Dominguez-Adame, Phys. Lett. A, 136, 175 (1989).

    Article  ADS  MathSciNet  Google Scholar 

  6. G. Chen, Z. D. Chen, and Z. M. Lou, Phys. Lett. A, 331, 374 (2004).

    Article  ADS  MathSciNet  Google Scholar 

  7. B. Talukar, A. Yunus, and M. R. Amin, Phys. Lett. A, 141, 326 (1989).

    Article  ADS  Google Scholar 

  8. L. Chetouani, L. Guechi, A. Lecheheb, et al., Physica A, 234, 529 (1996).

    Article  ADS  Google Scholar 

  9. F. Cooper, A. Khare, and U. Sukhatme, Supersymmetry in Quantum Mechanics, World Scientific, Singapore (2001).

    Book  Google Scholar 

  10. F. Cooper, A. Khare, and U. Sukhatme, Phys. Rep., 251, 267 (1995).

    Article  ADS  MathSciNet  Google Scholar 

  11. D. A. Morales, Chem. Phys. Lett., 394, 68 (2004).

    Article  ADS  Google Scholar 

  12. Sh.-H. Dong, Factorization Method in Quantum Mechanics, Springer, Dordrecht (2007).

    Book  Google Scholar 

  13. A. Arda and R. Sever, Commun. Theor. Phys., 58, 27 (2012).

    Article  ADS  Google Scholar 

  14. J. Cai, P. Cai, and A. Inomata, Phys. Rev. A, 34, 4621 (1986).

    Article  ADS  MathSciNet  Google Scholar 

  15. A. Z. Tang and F. T. Chan, Phys. Rev. A, 35, 911 (1987).

    Article  ADS  Google Scholar 

  16. B. Roy and R. Roychoudhury, J. Phys. A: Math. Gen., 20, 3051 (1987).

    Article  ADS  Google Scholar 

  17. A. F. Nikiforov and V. B. Uvarov, Special Functions of Mathematical Physics, Birkhauser, Basel (1988).

    Book  Google Scholar 

  18. O. J. Oluwadare, K. J. Oyewumi, and O. A. Babalola, African Rev. Phys., 7, 0016 (2012).

    Google Scholar 

  19. Y.-F. Cheng and T.-Q. Dai, Commun. Theor. Phys., 48, 431 (2007).

    Article  ADS  Google Scholar 

  20. M. Simsek and H. Egrifes, J. Phys. A.: Math. Gen., 37, 4379 (2004).

    Article  ADS  Google Scholar 

  21. Egrifes H. and Sever R., Int. J. Theor. Phys., 46, 935 (2007).

    Article  Google Scholar 

  22. Ch.-Y. Chen, D.-Sh. Sun, and Lu F.-L., Phys. Lett. A, 370, 219 (2007).

  23. W.-Ch. Qiang, R.-S. Zhou, and Y. Gao, Phys. Lett. A, 371, 201 (2007).

    Article  ADS  MathSciNet  Google Scholar 

  24. G.-F. Wei, Z.-Zh. Zhen, and Sh. D. Dong, Cent. Eur. J. Phys., 7, No. 1, 175 (2009).

    Google Scholar 

  25. Nasser Saad, Phys. Scr., 76, 623 (2007).

    Article  ADS  MathSciNet  Google Scholar 

  26. F. Yasuk, A. Durmus, and I. Boztosun, J. Mat. Phys., 47, 082302 (2006).

  27. Shi-Hai Dong and M. Lozada-Cassou, Phys. Scr., 74, 285 (2006).

  28. V. G. Bagrov, A. G. Meshkov, V. N. Shapovalov, and A. V. Shapovalov, Russ. Phys. J., 16, No. 11, 1533–1538 (1973).

    Google Scholar 

  29. V. G. Bagrov, A. G. Meshkov, V. N. Shapovalov, and A. V. Shapovalov, Russ. Phys. J., 16, No. 12, 1659– 1665 (1973).

    Google Scholar 

  30. V. G. Bagrov, A. G. Meshkov, V. N. Shapovalov, and A. V. Shapovalov, Russ. Phys. J., 17, No. 6, 812–815 (1974).

    Google Scholar 

  31. V. G. Bagrov, A. G. Meshkov, V. N. Shapovalov, and A. V. Shapovalov, Russ. Phys. J., 18, No. 3, 431–432 (1975).

    Google Scholar 

  32. A. I. Ahmadov, M. Demirci, S. M. Aslanova, and M. F. Mustamin, Phys. Lett. A, 384, 126372 (2020).

    Article  MathSciNet  Google Scholar 

  33. A. I. Ahmadov, S. M. Aslanova, M. Sh. Orujova, et al., Phys. Lett. A, 383, 3010 (2019).

    Article  ADS  MathSciNet  Google Scholar 

  34. Sh. M. Nagiyev and A. I. Ahmadov, Int. J. Mod. Phys. A, 34, No. 17, 1950089 (2019).

    Article  ADS  Google Scholar 

  35. A. I. Ahmadov, Sh. M. Nagiyev, M. V. Qocayeva, et al., Int. J. Mod. Phys. A, 33, 1850203 (2018).

    Article  ADS  Google Scholar 

  36. A. I. Ahmadov, C. Aydin, and O. Uzun, Int. J. Mod. Phys. A, 29, 1450002 (2014).

    Article  ADS  Google Scholar 

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

  38. M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, Dover Publications, Mineola, NY (1964).

    MATH  Google Scholar 

  39. G. S. Orudjev and N. A. Ismayilova, Adv. Phys. Res., 1, No. 1, 37 (2019).

    Google Scholar 

  40. W.-C. Qiang, Kai-Li, W.-L. Chen, and X-M. Wang, Phys. Scr., 80, 065007 (2009).

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to T. G. Aliyeva.

Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 12, pp. 82–89, December, 2020.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Aliyeva, T.G., Quliyeva, G.G. Analytical Solution of the Klein–Fock–Gordon Equation for the Rosen–Morse Potential. Russ Phys J 63, 2141–2150 (2021). https://doi.org/10.1007/s11182-021-02283-9

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11182-021-02283-9

Keywords

Navigation