On the Leading Term of the Eigenvalue Variation for Aharonov--Bohm Operators with a Moving Pole

DOI10.1137/15M1044898zbMath1349.35258arXiv1505.05280MaRDI QIDQ2817446

Laura Abatangelo, Veronica Felli

Publication date: 31 August 2016

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

Full work available at URL: https://arxiv.org/abs/1505.05280

zbMATH Keywords

asymptotics of eigenvaluesmagnetic Schrödinger operatorsblow-up analysisAharonov-Bohm potential

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) PDEs in connection with optics and electromagnetic theory (35Q60) Asymptotic distributions of eigenvalues in context of PDEs (35P20) PDEs in connection with quantum mechanics (35Q40) Schrödinger operator, Schrödinger equation (35J10) Singular elliptic equations (35J75)

Related Items (7)

Multiple Aharonov–Bohm eigenvalues: The case of the first eigenvalue on the disk ⋮ Sharp boundary behavior of eigenvalues for Aharonov-Bohm operators with varying poles ⋮ Spectral stability under removal of small capacity sets and applications to Aharonov-Bohm operators ⋮ Eigenvalue variation under moving mixed Dirichlet–Neumann boundary conditions and applications ⋮ On multiple eigenvalues for Aharonov-Bohm operators in planar domains ⋮ On Aharonov-Bohm operators with two colliding poles ⋮ Sharp asymptotic estimates for eigenvalues of Aharonov-Bohm operators with varying poles

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