Inverse boundary value problems and the Aharonov Bohm effect

DOI10.1088/0266-5611/19/1/303zbMath1020.35115OpenAlexW1971445252MaRDI QIDQ4807844

Gregory Eskin

Publication date: 26 May 2003

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0266-5611/19/1/303

zbMATH Keywords

Schrödinger equationAharonov-Bohm effectDirichlet-to-Neumann operatorsmulticonnected domainselectromagnetic or Yang-Mills potentials

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Inverse scattering problems in quantum theory (81U40) PDEs in connection with quantum mechanics (35Q40)

Related Items (11)

Aharonov-Bohm effect and high-momenta inverse scattering for the Klein-Gordon equation ⋮ Inverse Scattering Problem for the Schrödinger Operator with External Yang–Mills Potentials in Two Dimensions at Fixed Energy ⋮ A simple proof of magnetic and electric Aharonov-Bohm effects ⋮ Carleman estimate for the Schrödinger equation and application to magnetic inverse problems ⋮ Stability estimates for time-dependent coefficients appearing in the magnetic Schrödinger equation from arbitrary boundary measurements ⋮ High-velocity estimates for the scattering operator and Aharonov-Bohm effect in three dimensions ⋮ Inverse problems for the Schrödinger equations with time-dependent electromagnetic potentials and the Aharonov–Bohm effect ⋮ Mathematical justification of the Aharonov-Bohm Hamiltonian ⋮ Inverse problems and index formulae for Dirac operators ⋮ Stability estimate in an inverse problem for non-autonomous magnetic Schrödinger equations ⋮ Aharonov–Bohm effect revisited

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