Concentrations for nonlinear Schrodinger equation with magnetic potentials and constant electric potentials

2022/03/20 by Chunyi Zhao, Liping Wang, Zhao, Chunyi +1
Computer Science · Physics and Astronomy · #35A01 #35J10 #Analysis of PDEs (math.AP) #FOS: Mathematics #Quantum Electrodynamics and Casimir Effect #Quantum Information and Cryptography #Quantum Mechanics and Applications

paper · pdf · doi:10.48550/arxiv.2203.10464

openalex publication_date 2022/03/20 · openalex created_date 2023/02/13 · openalex updated_date 2026/07/28

Abstract

This paper studies the concentration phenomena to nonlinear Schrodinger equations with magnetic potentials and constant electric potentials. We find that the magnetic field plays an important role in the location of concentrations if the electric potential is constant. This is a completely new result compared with the case of non-constant electric potentials.

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