Introduction to Multiple Asymptotic Series with an Application to Elastic Scattering

The concept of asymptotic power series is extended to multiple series of the form ∑ m=0 ∞   ∑ n=0 ∞ a m,n x −n e −λmx . This theory is then applied to elastic scattering from the Yukawa potential. An asymptotic series for the solution at large distances is obtained which is valid for arbitrary waven...

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Bibliographic Details
Published in:Journal of mathematical physics 1971-01, Vol.12 (1), p.78-82
Main Author: Shere, Kenneth D.
Format: Article
Language:English
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Summary:The concept of asymptotic power series is extended to multiple series of the form ∑ m=0 ∞   ∑ n=0 ∞ a m,n x −n e −λmx . This theory is then applied to elastic scattering from the Yukawa potential. An asymptotic series for the solution at large distances is obtained which is valid for arbitrary wavenumber and angular momentum.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.1665490