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A comparison of wave functions for the normal helium atom

Published online by Cambridge University Press:  24 October 2008

T. D. H. Baber  and
H. R. Hassé
T. D. H. Baber
Affiliation:
St John's College, Professor of Mathematics in the University of Bristol
H. R. Hassé
Affiliation:
St John's College, Professor of Mathematics in the University of Bristol
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Extract

The object of this paper is to compare some of the wave functions which have been suggested for the normal helium atom, including one calculated in the first section of the paper, as regards energy, magnetic susceptibility and electric polarizability. Since this atom provides the simplest two-electron problem, such a comparison is of special interest and may indicate the direction in which improvements might be made in the calculation of wave functions for more complicated atoms.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 33 , Issue 2 , April 1937 , pp. 253 - 259
Copyright
Copyright © Cambridge Philosophical Society 1937

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References

* Hassé, , Proc. Camb. Phil. Soc. 26 (1930), 542,CrossRefGoogle Scholar and 27 (1931), 66. These are referred to as H. (I) and H. (II) respectively.

† The greater part of the calculations for this wave function were carried out by one of us (T. D. H. B.) in 1931 and 1932. The remaining calculations in this paper have been made, with the assistance of Miss M. J. White, at various times during the last four years.

* No correction has been made for the finite mass of the nucleus.

* Phys. Zeit. 33 (1932), 57.Google Scholar

* Zeit. f. Phys. 54 (1929), 354.Google Scholar

* Zeit. f. Phys. 65 (1930), 209.Google Scholar

† For the latest results on the energy of ionised atoms with two electrons see Robinson, , Phys. Rev. 51 (1937), 14.CrossRefGoogle Scholar

‡ Cf. Mayer, and Mayer, , Phys. Rev. 43 (1933), 605.CrossRefGoogle Scholar