Nonrelativistic limit in the self-dual Abelian Chern-Simons model

被引：1

作者：

Han, Jongmin ^{[1
]}

Song, Kyungwoo

机构：

[1] Hankuk Univ Foreign Studies, Dept Math, Yongin 449791, South Korea

[2] Kyung Hee Univ, Dept Math, Seoul 130701, South Korea

来源：

JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | 2007年 / 44卷 / 04期

关键词：

Abelian Chern-Simons models; self-dual equations; nontopological solutions; nonrelativistic limit;

D O I：

10.4134/JKMS.2007.44.4.997

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the nonrelativistic limit in the self-dual Abelian Chern-Simons model, and give a rigorous proof of the limit for the radial solutions to the self-dual equations with the nontopological boundary condition when there is only one-vortex point. By keeping the shooting constant of radial solutions to be fixed, we establish the convergence of radial solutions in the nonrelativistic limit.

引用

页码：997 / 1012

页数：16

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