Skip to main content
Log in

Further investigations for the least-squares method

  • Atomic and Molecular Physics
  • Published:
Acta Physica Academiae Scientiarum Hungaricae

Abstract

The least-squaresS-wave phase shifts of the scattering of electrons by simple, Yukawa and static potentials are compared with the exact phases. Additionally,Kohn’s, Rubinow’s and the least-squares methods (LSM) are used for calculating theS-wave phase shifts ofe +−H elastic scattering by employing trial and test-function spaces which allow for virtual positronium excitation. The results are in good agreement with those of other authors.

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. K. Ladanyi andT. Szondy, Nuovo Chim.B5, 70, 1971.

    Article  ADS  Google Scholar 

  2. K. Ladanyi, V. Lengyel andT. Szondy, Theor. Chim. Acta,21, 176, 1971.

    Article  Google Scholar 

  3. E. Schmid andK. Hoffmann, Nucl. Phys.,A175, 443, 1971.

    Article  Google Scholar 

  4. E. Schmid andJ. Schwager, Nucl. Phys.A180, 434, 1972.

    Article  Google Scholar 

  5. E. Schmid, Acta Phys. Austr. Suppl., IX, 44.

  6. E. Schmid, Nuovo Cim.,A 18, 771, 1973.

    Article  ADS  Google Scholar 

  7. I. Wladawsky, J. Chem. Phys.58, 1826, 1973.

    Article  ADS  Google Scholar 

  8. J. Schwager andE. Schmid, Nucl. Phys.,205A, 168, 1973.

    ADS  Google Scholar 

  9. J. Schwager, Nuovo Cim.,18A, 787, 1973.

    Article  ADS  Google Scholar 

  10. R. Mader, Ph. D. Thesis, Inst. f. Theor. Physik, Tübingen Univ., FRG.

  11. L. Hulthen, K. Fysiogr, Sallsk. Lund Förh,14, 257, 1944.

    Google Scholar 

  12. W. Kohn, Phys. Rev.,74, 1763, 1948.

    Article  MATH  ADS  Google Scholar 

  13. S. Rubinow, Phys. Rev.,98, 183, 1955.

    Article  MATH  ADS  MathSciNet  Google Scholar 

  14. J. Abdallah andD. Truhlar, J. Chem. Phys.,60, 4670, 1974.

    Article  ADS  Google Scholar 

  15. F. Harris andH. Michels, Phys. Rev. Lett.,22, 1036, 1969.

    Article  ADS  Google Scholar 

  16. F. Harris andH. Michels, Meth. Comput. Phys.,10, 143, 1971.

    Google Scholar 

  17. R. Nesbet, Phys. Rev.,A175, 134, 1968.

    Article  ADS  Google Scholar 

  18. R. Nesbet, Phys. Rev.,A179, 60, 1969.

    Article  ADS  Google Scholar 

  19. R. Nesbet andE. Oberoi, Phys. Rev.,A6, 1855, 1972.

    Article  ADS  Google Scholar 

  20. R. Oberoi andR. Nesebt, Phys. Rev.,A8, 215, 1973.

    Article  ADS  Google Scholar 

  21. M. A. Abdel-Raouf andD. Belschner, J. Phys.,B11, 3677, 1978.

    ADS  Google Scholar 

  22. E. Kanellopoulos, Th. Kanellopoulos andK. Wildermuth, Com. math. Phys.,24, 233, 1972.

    Article  MATH  ADS  MathSciNet  Google Scholar 

  23. M. A. Abdel-Raouf, J. Phys.B12, (to be published).

  24. F. Malik, Ann. Phys. (N. Y.),20, 464, 1962.

    Article  MATH  ADS  MathSciNet  Google Scholar 

  25. K. Takatsuka, andT. Fueno, Phys. Rev.,A19, 1011, 1979.

    Article  ADS  Google Scholar 

  26. A. H. Moussa, Proc. Phys. Soc.,74, 101, 1959.

    Article  Google Scholar 

  27. A. H. Moussa andM. A. Abdel-Raouf, Physica,68C, 195, 1973.

    Article  Google Scholar 

  28. C. Schwartz, Phys. Rev.,124, 1468, 1961.

    Article  ADS  Google Scholar 

  29. N. Mott andH. Massey, The Theory of Atomic Collisions, 3d Ed., Oxford University Press, Oxford, 1965.

    Google Scholar 

  30. A. Bhatia, A. Temkin, F. Drachman andH. Eiserike, Phys. Rev.,A3, 1328, 1971.

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Abdel-Raouf, M.A. Further investigations for the least-squares method. Acta Physica 48, 31–42 (1980). https://doi.org/10.1007/BF03157236

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF03157236

Keywords

Navigation