Topological multivortex solutions for the Chern-Simons system with two Higgs particles

Chen Zhi-You; Chern Jann-Long

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Topological multivortex solutions for the Chern-Simons system with two Higgs particles

机译：具有两个希格斯粒子的Chern-Simons系统的拓扑多涡旋解决方案

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摘要

In this paper, we prove the uniqueness of topological multivortex solutions to the self-dual abelian Chern-Simons model if either the Chern-Simons coupling parameter is sufficiently small or sufficiently large. In addition, we also establish the sharp region of the flux for nontopological solutions with a single vortex point.

机译：在本文中，如果Chern-Simons耦合参数足够小或足够大，我们证明了自对偶阿贝尔Chern-Simons模型的拓扑多涡旋解的唯一性。此外，我们还为具有单个涡点的非拓扑解决方案建立了通量的尖锐区域。

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《Communications in Partial Differential Equations》 |2016年第6期|共27页
作者
Chen Zhi-You; Chern Jann-Long;
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正文语种 eng
中图分类偏微分方程;
关键词
Uniqueness; multivortex solution; Chern-Simons system;

机译：唯一性;多重涡旋解;Chern-Simons系统;

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专利

1. Topological multivortex solutions for the Chern-Simons system with two Higgs particles [J] . Chen Zhi-You, Chern Jann-Long Communications in Partial Differential Equations . 2016,第4a6期

机译：具有两个希格斯粒子的Chern-Simons系统的拓扑多涡旋解决方案
2. Uniqueness of Topological Solutions and the Structure of Solutions for the Chern-Simons System with Two Higgs Particles [J] . Jann-Long Chern, Zhi-You Chen, Chang-Shou Lin Communications in Mathematical Physics . 2010,第2期

机译：具有两个希格斯粒子的Chern-Simons系统拓扑解的唯一性和解的结构
3. UNIQUENESS OF NON-TOPOLOGICAL SOLUTIONS FOR THE CHERN-SIMONS SYSTEM WITH TWO HIGGS PARTICLES [J] . Hsin-Yuan Huang, Chang-Shou Lin Kodai Mathematical Journal . 2014,第2期

机译：具有两个Higgs粒子的Chern-Simons系统的非拓扑解的唯一性
4. THE ROLE OF LIOUVILLE TYPE SYSTEMS IN THE STUDY OF NON-TOPOLOGICAL CHERN-SIMONS VORTICES [C] . R. FORTINI, G. TARANTELLO International Conference on Mathematical Physics . 2014

机译：Liouville型系统在非拓扑Chern-Simons涡旋研究中的作用
5. Exotic surface states of topological insulators and topological superconductors - quasiparticle scattering in the surface of 3d topological insulators and realization of majorana fermions. [D] . Zhou, Xiaoting. 2013

机译：拓扑绝缘子和拓扑超导体的外来表面状态-3d拓扑绝缘子表面中的准粒子散射和马约拉那费米子的实现。
6. Adsorption of Small Cationic Nanoparticles onto LargeAnionic Particles from Aqueous Solution: A Model System for UnderstandingPigment Dispersion and the Problem of Effective Particle Density [O] . S. M. North, E. R. Jones, *, -1

机译：小阳离子纳米粒子到大的吸附水溶液中的阴离子颗粒：理解模型系统颜料分散和有效颗粒密度问题
7. Non-topological Multivortex Solutions to the Self-Dual Maxwell–Chern–Simons–Higgs Systems [O] . Chae Dongho, Imanuvilov Oleg Yu. 2002

机译：自对偶Maxwell–Chern–Simons–Higgs系统的非拓扑多涡旋解

Topological multivortex solutions for the Chern-Simons system with two Higgs particles

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