Edge States for the Magnetic Laplacian in Domains with Smooth Boundary

DOI10.1137/20M1370471zbMath1481.35350arXiv1912.07261MaRDI QIDQ5003322

Arianna Giunti, Juan J. López Velázquez

Publication date: 21 July 2021

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.07261

zbMATH Keywords

eigenvalue problemSchrödinger operatorsmagnetic Laplacian

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Estimates of eigenvalues in context of PDEs (35P15) Asymptotic distributions of eigenvalues in context of PDEs (35P20) PDEs in connection with quantum mechanics (35Q40) Schrödinger operator, Schrödinger equation (35J10)

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Edge states for generalized Iwatsuka models: magnetic fields having a fast transition across a curve

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