A Newtonian Iteration Scheme With the Schwinger Variational Functional for Solving a Scattering Problem

Article type: Research Article

Authors: Chuluunbaatar, O.^{a; 1} | Puzynin, I.V.^a | Vinitsky, S.I^b

Affiliations: [a] Laboratory of Information Technologies, Joint Institute for Nuclear Research, Dubna, Moscow Region 141980, Russia | [b] Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna, Moscow Region 141980, Russia

Correspondence: [1] The address for manuscript correspondence: O. Chuluunbaatar, LIT, JINR, Duban, Moscow region, 141980, Russia. E-mail: chuka@cv.jinr.ru. Tel.: (096-21) 64808. Fax.: (096-21) 65145.

Abstract: A Newtonian iteration scheme has been constructed for solving a scattering problem using the Schwinger variational functional. The scattering problem is formulated as an eigenvalue problem with respect to a pair of unknown variables: a phase shift and a wavefunction. The efficiency and accuracy of the proposed iteration scheme are demonstrated on exact solvable tasks of an elastic scattering problem with Morse and spherical well potentials.

Keywords: Elastic scattering, variational methods, phase shift, integral equations, Newtonian methods

DOI: 10.3233/JCM-2002-21-206

Journal: Journal of Computational Methods in Sciences and Engineering, vol. 2, no. 1-2, pp. 37-49, 2002