On multiple eigenvalues for Aharonov-Bohm operators in planar domains

DOI10.1016/j.na.2017.11.010OpenAlexW2963455138MaRDI QIDQ682166

Manon Nys, Laura Abatangelo

Publication date: 13 February 2018

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.04416

zbMATH Keywords

magnetic Schrödinger operatorsAharonov-Bohm potentialmultiple eigenvalues

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Spectrum, resolvent (47A10) PDEs in connection with quantum mechanics (35Q40)

Related Items (1)

Multiple Aharonov–Bohm eigenvalues: The case of the first eigenvalue on the disk

Cites Work

• On the eigenvalues of Aharonov-Bohm operators with varying poles
• On the Aharonov-Bohm operators with varying poles: the boundary behavior of eigenvalues
• On Aharonov-Bohm operators with two colliding poles
• Asymptotic behavior of solutions to Schrödinger equations near an isolated singularity of the electromagnetic potential
• Negative discrete spectrum of perturbed multivortex Aharonov-Bohm Hamiltonians
• Nodal sets for ground states of Schrödinger operators with zero magnetic field in non simply connected domains
• On the Aharonov-Bohm Hamiltonian
• Hardy type inequalities for Aharonov-Bohm magnetic potentials with multiple singularities
• Estimates for eigenvalues of Aharonov-Bohm operators with varying poles and non-half-integer circulation
• On multiple eigenvalues of selfadjoint compact operators
• Sharp boundary behavior of eigenvalues for Aharonov-Bohm operators with varying poles
• Partial differential equations in action. From modelling to theory
• On the Leading Term of the Eigenvalue Variation for Aharonov--Bohm Operators with a Moving Pole
• Significance of Electromagnetic Potentials in the Quantum Theory
• Numerical Analysis of Nodal Sets for Eigenvalues of Aharonov–Bohm Hamiltonians on the Square with Application to Minimal Partitions
• Eigenvalues variations for Aharonov-Bohm operators
• Sharp asymptotic estimates for eigenvalues of Aharonov-Bohm operators with varying poles
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On multiple eigenvalues for Aharonov-Bohm operators in planar domains