Standing waves for a Schr\"odinger-Chern-Simons-Higgs system
Pietro d'Avenia, Alessio Pomponio
TL;DR
This paper proves the existence of solutions for a Schr"odinger-Chern-Simons-Higgs system with small coupling constants, contributing to the mathematical understanding of gauge field coupled quantum models.
Contribution
It establishes the existence of solutions for a nonrelativistic Chern-Simons-Higgs system under small coupling conditions, a novel result in this context.
Findings
Existence of solutions proven for small coupling constants
Mathematical analysis of a gauge field coupled Schr"odinger system
Advances understanding of nonrelativistic Chern-Simons-Higgs models
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.
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