Hostname: page-component-78c5997874-8bhkd Total loading time: 0 Render date: 2024-11-05T03:18:30.185Z Has data issue: false hasContentIssue false
  • English
  • Français

The interaction of nuclear multipole moments with an external charge distribution in elliptic coordinates

Published online by Cambridge University Press:  24 October 2008

M. J. Stephen
M. J. Stephen
Affiliation:
Department of ChemistryColumbia UniversityNew York
Get access Rights & Permissions [Opens in a new window]

Abstract

The calculation of the interaction between a point multipole moment and an external charge distribution is considered in elliptic coordinates. It is complicated by the singularity at the point moment. The results obtained are useful in calculating hyperfine interactions in diatomic molecules where the elliptic coordinates are the most natural system of coordinates. The results lead to an extension of Heine's expansion of (λ + μ)−1.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 57 , Issue 2 , April 1961 , pp. 348 - 352
Copyright
Copyright © Cambridge Philosophical Society 1961

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

(1)Bates, D. R., Ledsham, K., and Stewart, A. L., Phil. Trans. A, 246 (1953), 215.Google Scholar
(2)Ishiguro, E. J., Phys. Soc. Japan, 3 (1948), 133.CrossRefGoogle Scholar
(3)Whittaker, E. T., and Watson, G. N., A course of modern analysis, 4th ed. (Cambridge, 1927).Google Scholar
(4)Neumann, F., J. reine angew. Math. 37 (1848), 24.Google Scholar
(5)Heine, H. E., J. reine angew. Math. 42 (1851), 72.Google Scholar
(6)Rosen, N., Phys. Rev. 38 (1931), 255.CrossRefGoogle Scholar
(7)Stephen, M. J., and Auffray, J. P. J., Chem. Phys. 31 (1959), 1329.Google Scholar