Skip to main content
Log in

An application of hypervirial perturbation theory to calculate energy eigenvalues of the Morse potential for various diatomic molecules

  • Published:
Pramana Aims and scope Submit manuscript

Abstract

The Schrödinger equation with the potentialV(r)=D[exp(−2β(r−r e))−2exp(−β(r−r e))] is treated in the framework of the hypervirial-renormalization parameter scheme. The energy eigenvalues of various eigenstates for different molecules are calculated.

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.

Similar content being viewed by others

References

  1. Flügge Siegfried,Practical quantum mechanics (Springer-Verlag, 1971) Vol.1, 182

    Google Scholar 

  2. L D Landau and M E Lifshitz,Quantum mechanics (pergamon, 1963) p. 111

  3. John C Slater,Quantum theory of matter (McGraw Hill, 1968) Vol.1, p. 368

    Google Scholar 

  4. F Y Hajj, H Kobeisse and N R Nassif,J. Comput. Phys. 16, 150 (1974)

    Article  MathSciNet  Google Scholar 

  5. G Adam, L G Ixaru and Corciovei,J. Comput. Phys. 22, 1 (1976)

    Article  ADS  MathSciNet  Google Scholar 

  6. B R Johnson,J. Chem. Phys. 67, 4086 (1977)

    Article  ADS  Google Scholar 

  7. F M Fernandez and E A Castro,J. Mol. Spectrosc. 94, 28 (1982)

    Article  ADS  Google Scholar 

  8. F M Fernandez and J F Ogilvie,Phys. Rev. A42, 4001 (1990)

    ADS  Google Scholar 

  9. Bonatsos Dennis, E N Argyres and P P Raychev,J. Phys. A24, L403 (1991)

  10. P Morse,Phys. Rev. 34, 98 (1929)

    Article  Google Scholar 

  11. M R M Witwit,J. Phys. A24, 3041 (1991)

    ADS  Google Scholar 

  12. M R M Witwit,J. Phys. A24, 3053 (1991)

    ADS  Google Scholar 

  13. J P Killingbeck,J. Phys. A21, 3399 (1988)

    ADS  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Witwit, M.R.M. An application of hypervirial perturbation theory to calculate energy eigenvalues of the Morse potential for various diatomic molecules. Pramana - J. Phys. 42, 333–340 (1994). https://doi.org/10.1007/BF02847759

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02847759

Keywords

PACS No.

Navigation