Standing waves for a Schr\"odinger-Chern-Simons-Higgs system
Analysis of PDEs
2018-07-16 v1
Abstract
We consider a system arising from a nonrelativistic Chern-Simon-Higgs model, in which a charged field is coupled with a gauge field. We prove an existence result for small coupling constants.
Cite
@article{arxiv.1807.05168,
title = {Standing waves for a Schr\"odinger-Chern-Simons-Higgs system},
author = {Pietro d'Avenia and Alessio Pomponio},
journal= {arXiv preprint arXiv:1807.05168},
year = {2018}
}
Comments
10 pages
Related papers
View all related →
Analysis of PDEs · Mathematics
Standing waves of modified Schr\"odinger equations coupled with the Chern-Simons gauge theory
Pietro d'Avenia, Alessio Pomponio, Tatsuya Watanabe
2017-12-05
Analysis of PDEs · Mathematics
Standing Waves for Nonautonomous Klein-Gordon-Maxwell Systems
Monica Lazzo, Lorenzo Pisani
2019-12-03
Quantum Physics · Physics
Density dependent gauge field inducing emergent SSH physics, solitons and condensates in a discrete nonlinear Schr\"odinger equation
William N. Faugno, Mario Salerno, Tomoki Ozawa
2024-02-07
Analysis of PDEs · Mathematics
Ground states of Schr\"odinger systems with Chern-Simons gauge fields
Yahui Jiang, Taiyong Chen, Jianjun Zhang, Marco Squassina +1
2023-05-02
Analysis of PDEs · Mathematics
Quantitative Hydrodynamic Limit of the Chern--Simons--Higgs System
Jeongho Kim, Bora Moon
2026-04-10
Analysis of PDEs · Mathematics
Standing waves for a Schr\"odinger system with three waves interaction
Luigi Forcella, Xiao Luo, Tao Yang, Xiaolong Yang
2026-04-16
Analysis of PDEs · Mathematics
Coupled system of nonlinear Schr\"odinger and Korteweg-de Vries equations
Rasiel Fabelo
2016-10-19
Analysis of PDEs · Mathematics
Existence and stability of standing waves for nonlinear fractional Schr\"odinger equations with Hartree type nonlinearity
Dan Wu
2012-11-22
Analysis of PDEs · Mathematics
Standing waves for the Chern-Simons-Schrodinger equation with critical exponential growth
Chao Ji, Fei Fangb
2016-07-26
Analysis of PDEs · Mathematics
Improved estimates and a limit case for the electrostatic Klein-Gordon-Maxwell system
Antonio Azzollini, Lorenzo Pisani, Alessio Pomponio
2009-12-01
Analysis of PDEs · Mathematics
Partially concentrating standing waves for weakly coupled Schr\"odinger systems
Benedetta Pellacci, Angela Pistoia, Giusi Vaira, Gianmaria Verzini
2024-02-16
Analysis of PDEs · Mathematics
Existence and Instability of Standing Wave for the Two-wave Model with Quadratic Interaction
Zaihui Gan, Yue Wang
2023-07-04
Analysis of PDEs · Mathematics
Existence and instability of standing waves for the biharmonic nonlinear Schroedinger equation with combined nonlinearities
Xiaojun Chang, Hichem Hajaiej, Zhouji Ma, Linjie Song
2023-05-02
Analysis of PDEs · Mathematics
Stable standing waves for Nonlinear Schr\"odinger-Poisson system with a doping profile
Mathieu Colin, Tatsuya Watanabe
2025-11-04
High Energy Physics - Theory · Physics
Non-abelian plane waves and stochastic regimes for (2+1)-dimensional gauge field models with Chern-Simons term
D. Ebert, V. Ch. Zhukovsky, M. V. Rogal
2014-11-18
Analysis of PDEs · Mathematics
Positive energy static solutions for the Chern-Simons-Schr\"odinger system under a large-distance fall-off requirement on the gauge potentials
Antonio Azzollini, Alessio Pomponio
2019-11-06
Analysis of PDEs · Mathematics
Three wave interaction solitons for an energy critical Schr\"odinger system
Luigi Forcella, Xiao Luo, Xiaolong Yang
2026-04-16
Analysis of PDEs · Mathematics
Variational and stability properties of coupled NLS equations on the star graph
Liliana Cely, Nataliia Goloshchapova
2023-09-18
High Energy Physics - Theory · Physics
Chern-Simons Quantum Field Representation of Planar Ferromagnets
L. Martina, O. K. Pashaev, G. Soliani
2007-05-23
Analysis of PDEs · Mathematics
Orbital stability of standing waves for a system of nonlinear Schr\"{o}dinger equations with three wave interaction
Alex H. Ardila
2017-12-05
Analysis of PDEs · Mathematics
On scalar-type standing-wave solutions to systems of nonlinear Schr\"odinger equations
Satoshi Masaki
2023-02-13
Analysis of PDEs · Mathematics
Klein-Gordon-Maxwell System in a bounded domain
Pietro d'Avenia, Lorenzo Pisani, Gaetano Siciliano
2019-12-04
High Energy Physics - Theory · Physics
A new approach to the analysis of a noncommutative Chern-Simons theory
Pradip Mukherjee, Anirban Saha
2009-11-10
Analysis of PDEs · Mathematics
Existence and orbital stability of standing waves to a nonlinear Schr\"odinger equation with inverse square potential on the half-line
Elek Csobo
2020-11-23
High Energy Physics - Theory · Physics
On the Holomorphic Gauge Quantization of the Chern-Simons Theory and Laughlin Wave Functions
M. Eliashvili
2007-05-23