Skip to main content
SpringerLink
Log in

New method for solving three-dimensional Schrödinger equation

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

Summary

The method derived recently for solving a multidimensional scattering problem is applied to a three-dimensional Schrödinger equation. As compared with «direct» numerical methods of finite elements and finite differences, this approach gives sufficiently accurate upper and lower approximations to the helium-atom binding energy, which demonstrates its efficiency.

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. V. S. Melezhik: JINR Preprint D4-89-241, Dubna, 1989; accepted for publication inJ. Comp. Phys.,90 (1990).

  2. K. Frankowski andC. L. Pekeris:Phys. Rev.,146, 46 (1966);150, 366 (1966).

    Article  Google Scholar 

  3. D. E. Freund, B. D. Huxtable andJ. D. Morgan III:Phys. Rev.,29, 980 (1984).

    Article  Google Scholar 

  4. F. S. Levin andJ. Shertzer:Phys. Rev. A,32, 3285 (1985).

    Article  Google Scholar 

  5. I. L. Hawk andD. L. Hardcastl:Comput. Phys. Commun.,16, 159 (1979).

    Article  Google Scholar 

  6. I. S. Berezin andN. P. Zhidkov:Numerical Methods, Vol.1 (Nauka, Moscow, 1959) (in Russian).

    Google Scholar 

  7. J. V. Lill, G. A. Parker andJ. C. Light:Chem. Phys. Lett.,89, 483 (1982);J. C. Light, I. P. Hamilton andJ. V. Lill:J. Chem. Phys. Lett.,82, 1400 (1985).

    Article  Google Scholar 

  8. W. Yang andA. C. Peet:Chem. Phys. Lett.,153, 98 (1988).

    Article  Google Scholar 

  9. R. A. Friesner:Chem. Phys. Lett.,116, 39 (1985).

    Article  Google Scholar 

  10. V. S. Melezhik:J. Comp. Phys.,65, 1 (1986).

    Article  Google Scholar 

  11. V. S. Melezhik, I. V. Puzynin, T. P. Puzynina andL. N. Somov:J. Comp. Phys.,54, 221 (1984).

    Article  MathSciNet  Google Scholar 

  12. E. P. Zhidkov, G. I. Makarenko andI. V. Puzynin:Part. Nucl.,4, 127 (1978).

    Google Scholar 

  13. V. A. Fock:Izv. Akad. Nauk SSSR Ser. Fiz.,18, 161 (1954);Norske Vidensk. Selsk. Forh.,31, 138 (1958).

    MathSciNet  Google Scholar 

  14. A. A. Samarsky:Theory of Difference Schemes (Nauka, Moscow, 1977) (in Russian).

    Google Scholar 

  15. M. Abramovitz andI. Stigan:Handbook of Mathematical Functions (Dover Publications, Inc., New York, N.Y., 1964).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Joint Institute of Nuclear Research, Dubna, Head P.O. Box 79, Moscow, USSR

    V. S. Melezhik

Authors
  1. V. S. Melezhik
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

The author of this paper has agreed to not receive the proofs for correction.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Melezhik, V.S. New method for solving three-dimensional Schrödinger equation. Nuovo Cim B 106, 537–544 (1991). https://doi.org/10.1007/BF02726788

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02726788

Search

Navigation