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The Fredholm Solution as the Limit for a Sum of Separable Potentials

Published online by Cambridge University Press:  24 October 2008

D. B. Fairlie
D. B. Fairlie
Affiliation:
Pembroke CollegeCambridge
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Abstract

The scattering amplitude for a potential expressible as a sum of n separable potentials is obtained as the solution of a set of n simultaneous linear equations. As n→∞ the Fredholm solution for the integral form of the Schrödinger equation is recovered.

Type
Articles
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 56 , Issue 2 , April 1960 , pp. 182 - 185
Copyright
Copyright © Cambridge Philosophical Society 1960

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References

REFERENCES

(1)Fairlie, D. B., and Polkinghorne, J. C., Nuovo Cim. 8 (1958), 555–9.CrossRefGoogle Scholar
(2)Gell-Mann, M., and Goldberger, M. L., Phys. Rev. 91 (1953), 398–408.CrossRefGoogle Scholar
(3)Jost, R., and Pais, A., Phys. Rev. 82 (1951), 840–51.CrossRefGoogle Scholar
(4)Klein, A., and Lee, B. W., Application of the Chew-Low formalism to multi-channel reactions (preprint).Google Scholar
(5)Whittaker, E. T., and WATSON, G. N., Modern analysis (Cambridge, 1940), 4th ed., Chapter xi.Google Scholar
(6)Yamaguchi, Y., Phys. Rev. 95 (1954), 1628–34.CrossRefGoogle Scholar