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On the one-region two-centre expansions of a generalized Coulomb field in spherical polar and parabolic coordinates

Published online by Cambridge University Press:  24 October 2008

L. A. Edelstein
L. A. Edelstein
Affiliation:
Department of Physics, University College London
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Extract

1. Introduction and summary. There has been considerable interest in the problem of expanding a Coulomb potential l/r12 in spherical polar coordinates defined relative to two centres A(0, 0, − d) and B(0, 0, + d) where 2d = D = rAB.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 60 , Issue 3 , July 1964 , pp. 543 - 546
Copyright
Copyright © Cambridge Philosophical Society 1964

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References

REFERENCES

(1) Buehler, R. J. and Hirschfelder, J. O. Physical Rev. (2) 83 (1951), 628–633 and 85 (1952), 149.CrossRefGoogle Scholar
(2) Carlson, B. C. and Rushbrooke, G. S. Proc. Cambridge Philos. Soc. 46 (1950), 626–633.CrossRefGoogle Scholar
(3) Margenau, H. and Murphy, G. M. The mathematics of physics and chemistry (Van Nostrand; Princeton, 1943).Google Scholar