Gauge Equivalence and Inverse Scattering for Aharonov–Bohm Effect

DOI10.1080/03605301003758344zbMath1208.81196arXiv0809.3291OpenAlexW2034092207MaRDI QIDQ3066909

Stephen O'Dell, Hiroshi Isozaki, Gregory Eskin

Publication date: 20 January 2011

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0809.3291

zbMATH Keywords

inverse scatteringAharanov-Bohm effect

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Inverse scattering problems in quantum theory (81U40) Schrödinger operator, Schrödinger equation (35J10) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70) Quasielliptic equations (35H30)

Related Items (7)

Besov and Triebel-Lizorkin regularity for the Hodge decomposition and applications to magnetic potentials ⋮ Aharonov-Bohm effect and high-momenta inverse scattering for the Klein-Gordon equation ⋮ A simple proof of magnetic and electric Aharonov-Bohm effects ⋮ Gauge equivalence and inverse scattering for long-range magnetic potentials ⋮ Identification of a connection from Cauchy data on a Riemann surface with boundary ⋮ High-velocity estimates for Schrödinger operators in two dimensions: Long-range magnetic potentials and time-dependent inverse scattering ⋮ Aharonov–Bohm effect revisited

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