Asymptotic properties of solutions to discrete Coulomb equations

被引：2

作者：

Mickens, RE ^{[1
]}

机构：

[1] Clark Atlanta Univ, Dept Phys, Atlanta, GA 30314 USA

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 1998年 / 36卷 / 10-12期

关键词：

difference equations; asymptotics; Coulomb equations; numerical solutions;

D O I：

10.1016/S0898-1221(98)80029-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We construct two finite-difference models for the Coulomb differential equation which arises in the quantum mechanics analysis of the scattering of two charged point particles. These difference equations correspond to the standard and Mickens-Ramadhani schemes for the Coulomb equation. Our major goal is to determine the first two terms in the asymptotic solutions and compare them to the corresponding solutions of the Coulomb differential equation. In particular, the form of the anomalous phase term is examined. (C) 1998 Elsevier Science Ltd. All rights reserved.

引用

页码：285 / 289

页数：5

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