Analytical treatment of singular equations in dissociative recombination
type: Item
instance of: scholarly article
title: Analytical treatment of singular equations in dissociative recombination
zbMATH Open document ID: 0947.45003
DOI: 10.1016/S0010-4655(99)00419-1
author: Lukáš Pichl
author: Hiroki Nakamura
author: Jiri Horáček
published in: Computer Physics Communications
publication date: 2000-11-01T00:00:00Z
review text: The authors study a method of solving singular integral equations of Cauchy type which arise in the multi-channel quantum defect theory of the dissociative recombination process. To treat the singularity they introduce a method based on the use of Chebyshev polynomials which allows an analytical evaluation of all singular integrals that appear in the equations. Great emphasis is given to the case where the coupling potential is approximated by a product of functions of the variables. In this case it is possible to obtain an analytical solution. The methods developed in this paper are compared to conventional ones and shown to be very efficient.
reviewed by: Gustaf Gripenberg
Mathematics Subject Classification ID: 45E05
Mathematics Subject Classification ID: 81Q40
zbMATH DE Number: 1422862
zbMATH Keywords: Chebyshev polynomial
zbMATH Keywords: separable approximation
zbMATH Keywords: Lippmann-Schwinger equation
zbMATH Keywords: singular integral equation of Cauchy type
zbMATH Keywords: multi-channel quantum defect theory
zbMATH Keywords: dissociative recombination process
MaRDI profile type: Publication
full work available at URL: s0010-4655(99)00419-1
OpenAlex ID: W2010908663
description: scientific article; zbMATH DE number 1422862