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Some remarks on the calculation of Born partial wave integrals

Published online by Cambridge University Press:  24 October 2008

B. Piraux
Affiliation:
Blackett Laboratory, Imperial College of Science and Technology, University of London
Colm T. Whelan
Affiliation:
Department of Mathematics, Royal Holloway and Bedford New College, University of London

Extract

The Born partial wave integrals of Seaton [3] are considered. It is shown that the treatment of Whelan [5] may be further simplified and that these integrals may be expressed as a finite sum of associated Legendre polynomials of the second kind. This provides a convenient method for their numerical evaluation and allows the relationship between the Born and Bethe reactance matrices to be given in explicit analytic form.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1987

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References

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