Skip to main content
SpringerLink
Log in

Approximate analytical solutions of a two-term diatomic molecular potential with centrifugal barrier

  • Original Paper
  • Published:
Journal of Mathematical Chemistry Aims and scope Submit manuscript

Abstract

Approximate analytical bound state solutions of the radial Schrödinger equation are studied for a two-term diatomic molecular potential in terms of the hypergeometric functions for the cases where q ≥ 1 and q = 0. The energy eigenvalues and the corresponding normalized wave functions of the Manning–Rosen potential, the ‘standard’ Hulthén potential and the generalized Morse potential are briefly studied as special cases. It is observed that our analytical results are the same with the ones obtained before.

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

Access this article

Log in via an institution

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. Sun J.X.: Acta Phys. Sin. 48, 1992 (1999)

    CAS  Google Scholar 

  2. Khelashvili A.A.: Theor. Math. Phys. 51, 447 (1982)

    Article  Google Scholar 

  3. Zhukov M.V., Danilin B.V., Fedorov D.V., Vaagen J.S., Gareev F.A., Bang J.: Phys. Lett. B 265, 19 (1991)

    Article  CAS  Google Scholar 

  4. Rahan A., Stillinger F.H., Lemberg H.L.: J. Chem. Phys. 63, 5223 (1975)

    Article  Google Scholar 

  5. Romera E., Sánchez-Moreno P., Dehesa J.S.: J. Math. Phys. 47, 103504 (2006)

    Article  Google Scholar 

  6. Aptekarev A.I., Dehesa J.S., Yánez R.J.: J. Math. Phys. 35, 4423 (1994)

    Article  Google Scholar 

  7. Crandall R.E.: J. Phys. A 16, L395 (1983)

    Article  Google Scholar 

  8. Jia C.S., Wang J.Y., He S., Sun L.T.: J. Phys. A 33, 6993 (2000)

    Article  CAS  Google Scholar 

  9. Benamira F., Guechi L., Mameri S., Sadoun M.A.: J. Math. Phys. 48, 032102 (2007)

    Article  Google Scholar 

  10. Flügge S.: Practical Quantum Mechnics I. Springer, Berlin (1971)

    Google Scholar 

  11. Green R.L., Aldrich C.: Phys. Rev. A 14, 2363 (1976)

    Article  Google Scholar 

  12. Zhang L.H., Li X.P., Jia C.S.: Phys. Lett. A 372, 2201 (2008)

    Article  CAS  Google Scholar 

  13. Xu Y., He S., Jia C.S.: J. Phys. A 41, 255302 (2008)

    Article  Google Scholar 

  14. Jia C.S., Chen T., Cui L.G.: Phys. Lett. A 373, 1621 (2009)

    Article  CAS  Google Scholar 

  15. Jia C.S., Liu J.Y., Wang P.Q.: Phys. Lett. A 372, 4779 (2008)

    Article  CAS  Google Scholar 

  16. Abramowitz M., Stegun I.A.: Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables. Dover Publications, New York (1965)

    Google Scholar 

  17. Nasser I., Abdelmonem M.S., Bahlouli H., Alhaidari A.D.: J. Phys. B 40, 4245 (2007)

    Article  CAS  Google Scholar 

  18. Manning M.F., Rosen N.: Phys. Rev. 44, 953 (1933)

    CAS  Google Scholar 

  19. Ikhdair S.M.: Phys. Scr. 83, 015010 (2011)

    Article  Google Scholar 

  20. Dong S.H., Qiang W.C., Sun G.H., Bezerra V.B.: J. Phys. A 40, 10535 (2007)

    Article  Google Scholar 

  21. Filho E.D, Ricotta R.M.: Mod. Phys. Lett. A 10, 1613 (1995)

    Article  Google Scholar 

  22. G. Szegö, Orthogonal Polynomials (Amer. Math. Soc., Providence, RI, 1988)

Download references

Author information

Authors and Affiliations

  1. Department of Physics Education, Hacettepe University, 06800, Ankara, Turkey

    Altuğ Arda

  2. Department of Physics, Middle East Technical University, 06531, Ankara, Turkey

    Ramazan Sever

Authors
  1. Altuğ Arda
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Ramazan Sever
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Altuğ Arda.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Arda, A., Sever, R. Approximate analytical solutions of a two-term diatomic molecular potential with centrifugal barrier. J Math Chem 50, 1920–1930 (2012). https://doi.org/10.1007/s10910-012-0011-0

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10910-012-0011-0

Keywords

Search

Navigation