대한수학회지 (Journal of the Korean Mathematical Society)

  • 제44권4호
  • /
  • Pages.997-1012
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  • 2007
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  • 0304-9914(pISSN)
  • /
  • 2234-3008(eISSN)
대한수학회 (Korean Mathematical Society)
권호 표지
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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)
  • 발행 : 2007.07.30
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초록

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.

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참고문헌

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피인용 문헌

  1. Semi-nonrelativistic limit of the Chern–Simons–Higgs system vol.50, pp.7, 2009, https://doi.org/10.1063/1.3179159