PARTICLE MOTION AND INTERACTION IN NONLINEAR FIELD THEORIES

被引：11

作者：

DERRICK, GH

KAYKONG, W

机构：

[1] Department of Theoretical Physics, School of Physical Sciences, University of St. Andrews, St. Andrews, Fife

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1968年 / 9卷 / 02期

关键词：

D O I：

10.1063/1.1664573

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A variational method is given for determining the motion and interaction of particles associated with fields governed by nonlinear differential equations. For field equations derived from Lagrangian densities of the type g ικ(∂θ/∂xι)(∂θ/ ∂xκ) + f(θ), one obtains an attractive inverse-square law of force between like particles, provided f(θ) vanishes more rapidly than (constant) θ4 for θ → 0.

引用

页码：232 / &

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