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

Jayasinghe, W. J. M. L. P. (2015) Elastic scattering based on integral equation theory for potentials including the Coulomb potential. In: 7th Applied Science, Business & Industrial Research Symposium (ASBIRES 2015), 5 Aug 2015, 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.


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Item Type: Conference or Workshop Item (Commonwealth Reporting Category E) (Paper)
Refereed: Yes
Item Status: Live Archive
Additional Information: Files associated with this item cannot be displayed due to copyright restrictions.
Faculty/School / Institute/Centre: No Faculty
Faculty/School / Institute/Centre: No Faculty
Date Deposited: 21 Apr 2022 04:02
Last Modified: 21 Apr 2022 04:16
Uncontrolled Keywords: Analytic, Elastic scattering, Poles, S-matrix, the Wave function
Fields of Research (2020): 49 MATHEMATICAL SCIENCES > 4902 Mathematical physics > 490205 Mathematical aspects of quantum and conformal field theory, quantum gravity and string theory
49 MATHEMATICAL SCIENCES > 4902 Mathematical physics > 490299 Mathematical physics not elsewhere classified
49 MATHEMATICAL SCIENCES > 4901 Applied mathematics > 490109 Theoretical and applied mechanics
URI: http://eprints.usq.edu.au/id/eprint/47814

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