Spectral transitions for Aharonov-Bohm Laplacians on conical layers

DOI10.1017/prm.2018.64zbMath1436.35267arXiv1607.02454OpenAlexW2962840911WikidataQ128505069 ScholiaQ128505069MaRDI QIDQ5213171

Thomas Ourmières-Bonafos, Vladimir Lotoreichik, David Krejčiřík

Publication date: 31 January 2020

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.02454

zbMATH Keywords

Schrödinger operatorspectral asymptoticsexistence of bound statesquantum layersconical geometries

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) 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)

Related Items (4)

Discrete spectrum of interactions concentrated near conical surfaces ⋮ Spectral asymptotics of the Dirichlet Laplacian on a generalized parabolic layer ⋮ Spectral asymptotics for \(\delta\)-interactions on sharp cones ⋮ Discrete spectrum of Schrödinger operators with potentials concentrated near conical surfaces

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