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Screening constants for relativistic wave functions

Published online by Cambridge University Press:  24 October 2008

R. H. Garstang  and
D. F. Mayers
R. H. Garstang
Affiliation:
Theoretical Physics Division, A.W.R.E., Aldermaston, Berks.
D. F. Mayers
Affiliation:
Theoretical Physics Division, A.W.R.E., Aldermaston, Berks.
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Abstract

Formulae for the mean radius and mean square radius of a relativistic Coulomb wave function are obtained. Screening constants for the energy, mean radius and mean square radius are defined relative to non-relativistic wave functions and the results of numerical calculations given. It is shown that if the screening constants so determined are added to the screening constants due to the presence of other electrons as found by the s.c.f. method, good agreement is obtained in a case where both effects have been considered together. The value of solving the relativistic wave equation in a Thomas-Fermi field is also shown.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 62 , Issue 4 , October 1966 , pp. 777 - 782
Copyright
Copyright © Cambridge Philosophical Society 1966

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References

REFERENCES

(1)Condon, E. U. and Shortley, G. H.Theory of atomic spectra (Cambridge, 1951).Google Scholar
(2)Bethe, H. A. and Salpeter, E. E.Quantum mechanics of one and two-electron atoms (Springer; Berlin, 1957). (Handbuch der Physik, vol. 35.)CrossRefGoogle Scholar
(3)Cohen, S.Phys. Rev. 118 (1960), 489.Google Scholar
(4)Davis, L.Phys. Rev. 56 (1939), 186.CrossRefGoogle Scholar
(5)Slater, L. J.Confluent hypergeometric functions (Cambridge, 1960).Google Scholar
(6)Mayers, D. F.Proc. Roy. Soc. London, Ser. A 241 (1957), 93.Google Scholar