On the Aharonov-Bohm operators with varying poles: the boundary behavior of eigenvalues

DOI10.1007/s00220-015-2423-8zbMath1326.35354arXiv1411.5244OpenAlexW1825638508MaRDI QIDQ496203

Benedetta Noris, Manon Nys, Susanna Terracini

Publication date: 21 September 2015

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.5244

zbMATH Keywords

Aharonov-Bohm operatorsboundary behavior of eigenvalues

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Asymptotic distributions of eigenvalues in context of PDEs (35P20) NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40) Schrödinger operator, Schrödinger equation (35J10)

Related Items (12)

Estimates for eigenvalues of Aharonov-Bohm operators with varying poles and non-half-integer circulation ⋮ 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 ⋮ Lower bounds for the first eigenvalue of the magnetic Laplacian ⋮ On multiple eigenvalues for Aharonov-Bohm operators in planar domains ⋮ On Aharonov-Bohm operators with two colliding poles ⋮ Lower bounds for the first eigenvalue of the Laplacian with zero magnetic field in planar domains ⋮ Unnamed Item ⋮ Sharp asymptotic estimates for eigenvalues of Aharonov-Bohm operators with varying poles ⋮ On the Leading Term of the Eigenvalue Variation for Aharonov--Bohm Operators with a Moving Pole

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