Eigenvalues variations for Aharonov-Bohm operators

DOI10.1063/1.4905647zbMath1305.81078OpenAlexW2039266474MaRDI QIDQ5499034

Corentin Léna

Publication date: 11 February 2015

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

Full work available at URL: https://doi.org/10.1063/1.4905647

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items (14)

Spectral flow for pair compatible equipartitions ⋮ 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 ⋮ Lower bound for the number of critical points of minimal spectral \(k\)-partitions for \(k\) large ⋮ 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 ⋮ Oscillatory patterns in the Ginzburg-Landau model driven by the Aharonov-Bohm potential ⋮ Eigenvalue variation under moving mixed Dirichlet–Neumann boundary conditions and applications ⋮ Superconductivity and the Aharonov-Bohm effect ⋮ On the Aharonov-Bohm operators with varying poles: the boundary behavior of eigenvalues ⋮ 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 ⋮ On the Leading Term of the Eigenvalue Variation for Aharonov--Bohm Operators with a Moving Pole

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