Integrability of a system of N electrons subjected to Coulombian interactions

被引：11

作者：

Fusco, G

Oliva, WM

机构：

[1] UNIV SAO PAULO, INST MATEMAT & ESTATIST, SAO PAULO, BRAZIL

[2] UNIV TECN LISBOA, INST SUPER TECN, P-1096 LISBON, PORTUGAL

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 1997年 / 135卷 / 01期

关键词：

D O I：

10.1006/jdeq.1996.3171

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The Liouville integrability of a system of N repelling particles in R(n), for a large class of potentials, is obtained by showing that the asymptotic velocities are smooth first integrals, independent, and in involution. A new proof for the existence of the asymptotic velocities is also presented. (C) 1997 Academic Press.

引用

页码：16 / 40

页数：25

共 16 条

[1]

FUSCO G, IN PRESS P EQUADIFF

[2] ASYMPTOTIC-BEHAVIOR OF PARTICLE MOTION UNDER REPULSIVE FORCES [J].