Skip to main content
SpringerLink
Log in

A simple variational method for excited states of coupled anharmonic oscillators

  • Published:
Il Nuovo Cimento B (1971-1996)

Summary

A simple variational method for excited states is presented and extended to handle two-body Hamiltonians. The method is applied to coupled anharmonic oscillators with arbitrary coupling strength. Our results for the ground and excited states are in good agreement with other available results. Forn→∞, a simple but accurate analytical expression for the energy levels is obtained. Our method can also be used to calculate the excited states of other Hamiltonians.

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. Bransden B. H. andJoachain C. J.,Introduction to Quantum Mechanics (Longman) 1990.

  2. Chan K. L., Lee S. K., Liu K. L., Young K. andAu C. K.,Phys. Lett. A 162 (1992) 227.

    Article  ADS  Google Scholar 

  3. Giachetti R. andTognetti V.,Phys. Rev. Lett.,55 (1985) 912;Phys. Rev. B,33 (1986) 7647.

    Article  MathSciNet  ADS  Google Scholar 

  4. Feynman R. P. andKleinert H.,Phys. Rev. A,34 (1986) 5080.

    Article  MathSciNet  ADS  Google Scholar 

  5. Burden F. R. andWilson R. M.,Adv. Phys.,21 (1972) 825.

    Article  ADS  Google Scholar 

  6. Killingbeck J. andJones M. N.,J. Phys. A,19 (1986) 705.

    Article  MathSciNet  ADS  Google Scholar 

  7. Fernandez F. M. andCastro E. A.,Phys. Lett. A,112 (1986) 107.

    Article  MathSciNet  ADS  Google Scholar 

  8. Vrscay E. R. andHandy R. C.,J. Phys. A,22 (1989) 823.

    Article  MathSciNet  ADS  Google Scholar 

  9. De Saavedra F. A. andBuendia E.,J. Phys. A,24 (1991) L1209.

    Article  ADS  Google Scholar 

  10. Goodisman J.,Diatomic Interaction Potential Theory, Vol.1 (Academic Press, New York, N.Y.) 1973.

    Google Scholar 

  11. Preuss H.,Z. Naturforsch. A,16 (1961) 598.

    MathSciNet  ADS  Google Scholar 

  12. Hioe F. T., Macmillen D. andMontroll E. W.,Phys. Rep. C,43 (1978) 305.

    Article  MathSciNet  ADS  Google Scholar 

  13. De Meyer H. andVanden Berghe G.,J. Phys. A,23 (1990) 1323.

    Article  ADS  Google Scholar 

  14. Ganesan K. andLakshmanan M.,Phys. Rev. A,48 (1993) 964.

    Article  ADS  Google Scholar 

  15. Aguilera-Navarro V. C., Fernandez F. M., Guardiola R. andRos J.,J. Phys. A,25 (1992) 6379.

    Article  MathSciNet  ADS  Google Scholar 

  16. Rosner W., Wunner G., Herold H. andRuder H.,J. Phys. B,17 (1983) 29.

    Article  ADS  Google Scholar 

  17. Bessis D., Vrscay E. R. andHandy C. R.,J. Phys. A,20 (1986) 419.

    Article  MathSciNet  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Physics, University of Hong Kong, Pokfulam Road, Hong Kong

    C. C. Yao & K. S. Cheng

Authors
  1. C. C. Yao
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. K. S. Cheng
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

The authors of this paper have agreed to not receive the proofs for correction.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Yao, C.C., Cheng, K.S. A simple variational method for excited states of coupled anharmonic oscillators. Nuov Cim B 111, 645–652 (1996). https://doi.org/10.1007/BF02726656

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02726656

PACS

PACS

Search

Navigation