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http://dx.doi.org/10.4134/JKMS.2007.44.4.997

NONRELATIVISTIC LIMIT IN THE SELF-DUAL ABELIAN CHERN-SIMONS MODEL  

Han, Jong-Min (DEPARTMENT OF MATHEMATICS HANKUK UNIVERSITY OF FOREIGN STUDIES)
Song, Kyung-Woo (DEPARTMENT OF MATHEMATICS KYUNG HEE UNIVERSITY)
Publication Information
Journal of the Korean Mathematical Society / v.44, no.4, 2007 , pp. 997-1012 More about this Journal
Abstract
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.
Keywords
Abelian Chern-Simons models; self-dual equations; nontopological solutions; nonrelativistic limit;
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