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<p>In this paper, we consider a singular limit of the Chern–Simons–Higgs equations that reveals a correspondence between the Chern–Simons–Higgs and Chern–Simons–Schrödinger systems. Specifically, we demonstrate that in the limit as the speed of light goes infinity, known as the <i>non-relativistic limit</i>, a family of time-dependent solutions of the modulated Chern–Simons–Higgs system, which depends on the parameter <i>c</i> representing the speed of light, converges to the solution of the Chern–Simons–Schrödinger system, given suitable initial data assumptions.</p>

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Understanding the Non-Relativistic Behavior of the Chern–Simons–Higgs System

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  • 发表日期：

    2026年2月10日

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  • Hyungjin Huh,
  • Bora Moon

摘要

In this paper, we consider a singular limit of the Chern–Simons–Higgs equations that reveals a correspondence between the Chern–Simons–Higgs and Chern–Simons–Schrödinger systems. Specifically, we demonstrate that in the limit as the speed of light goes infinity, known as the non-relativistic limit, a family of time-dependent solutions of the modulated Chern–Simons–Higgs system, which depends on the parameter c representing the speed of light, converges to the solution of the Chern–Simons–Schrödinger system, given suitable initial data assumptions.