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On the one centre expansion of scattered distorted spherical and hyperspherical waves

Published online by Cambridge University Press:  24 October 2008

L. A. Edelstein
L. A. Edelstein
Affiliation:
University College, London
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Extract

1. In many problems in theoretical physics one encounters situations in which it is desirable to be able to expand orbitals centred at one particle about another centre, frequently, but not always, another particle.

There have long been available methods for permitting this to be effected for bound states but no such procedures are available for the continuum.

Typical examples of physical situations in which such procedures are desirable are positron scattering from atomic and molecular systems, electron scattering from molecules, and nucleon scattering from light nuclei, to mention only a few.

The author's interest arose from a desire to establish a general theory of slow electron scattering from molecules, and an account of such a theory will appear shortly (1).

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 59 , Issue 1 , January 1963 , pp. 185 - 196
Copyright
Copyright © Cambridge Philosophical Society 1963

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References

REFERENCES

(1)Edelstein, L. A.Proc. Phys. Soc. Sect. A (in press).Google Scholar
(2)Watson, G. N.Theory of Bessel functions (2nd ed.) (Cambridge, 1944).Google Scholar
(3)Whittaker, E. T. and Watson, G. N.Modern analysis (4th ed.) (Cambridge, 1927).Google Scholar
(4)Erdélyi, A. et al. Higher transcendental functions, vol. 1 (McGraw Hill; New York, 1953).Google Scholar
(5)Hobson, E. W.Theory of spherical and ellipsoidal harmonics (Cambridge, 1931).Google Scholar
(6)Erdélyi, A.Physica, 4, no. 2, 107 (1937).CrossRefGoogle Scholar
(7)Van Der POL, B.Physica, 3, no. 6, 393 (1936).CrossRefGoogle Scholar