Elastic scattering based on integral equation theory for potentials including the Coulomb potential

Paper


Jayasinghe, W. J. M. L. P.. 2015. "Elastic scattering based on integral equation theory for potentials including the Coulomb potential." 7th Applied Science, Business & Industrial Research Symposium (ASBIRES 2015). Sri Lanka 05 Aug 2015 Sri Lanka.
Paper/Presentation Title

Elastic scattering based on integral equation theory for potentials including the Coulomb potential

Presentation TypePaper
Authors
AuthorJayasinghe, W. J. M. L. P.
Journal or Proceedings TitleProceedings of the 7th Applied Science, Business & Industrial Research Symposium (ASBIRES 2015)
Journal Citation4 (4), pp. 53-57
Number of Pages5
Year2015
Place of PublicationSri Lanka
ISBN9789554709430
Conference/Event7th Applied Science, Business & Industrial Research Symposium (ASBIRES 2015)
Event Details
7th Applied Science, Business & Industrial Research Symposium (ASBIRES 2015)
Event Date
05 Aug 2015
Event Location
Sri Lanka
Abstract

The upper bounds for the regular Coulomb wave function and the Green function are involved with the integral equation. Using the uniform convergence of the integral equation for the wave function, it is found that the wave function is an analytic function of k except at k = 0. In this respect it is found that S-matrix element is an analytic function of k except at k = 0 and at it poles.

KeywordsAnalytic, Elastic scattering, Poles, S-matrix, the Wave function
ANZSRC Field of Research 2020490205. Mathematical aspects of quantum and conformal field theory, quantum gravity and string theory
490299. Mathematical physics not elsewhere classified
490109. Theoretical and applied mechanics
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Byline AffiliationsWayamba University of Sri Lanka
Institution of OriginUniversity of Southern Queensland
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