Edge currents and eigenvalue estimates for magnetic barrier Schrödinger operators

DOI10.3233/ASY-141234zbMath1303.35080arXiv1309.4548OpenAlexW1505070958MaRDI QIDQ2929393

Eric Soccorsi, Nicolas Dombrowski, Peter D. Hislop

Publication date: 12 November 2014

Published in: Asymptotic Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.4548

zbMATH Keywords

magnetic fieldmagnetic Schrödinger operatorsmagnetic edge statesedge conductancesnake orbits

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Estimates of eigenvalues in context of PDEs (35P15) PDEs in connection with quantum mechanics (35Q40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10)

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