An inverse scattering problem with the Aharonov–Bohm effect

DOI10.1063/1.533403zbMath0981.81069OpenAlexW1968947080MaRDI QIDQ2738107

François Nicoleau

Publication date: 30 August 2001

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

Full work available at URL: https://doi.org/10.1063/1.533403

zbMATH Keywords

magnetic fieldinverse scattering methodelectromagnetic fieldstwo-dimensional casedirect scatteringquantification of the magnetic flux

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Applications of operator theory in the physical sciences (47N50) Electromagnetic interaction; quantum electrodynamics (81V10) Inverse scattering problems in quantum theory (81U40) Scattering theory of linear operators (47A40)

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Cites Work

• The Aharonov-Bohm effect and scattering theory
• Effet d'Aharonov-Bohm sur un état borné de l'équation de Schrödinger. (Aharonov-Bohm effect for a bounded state of the Schrödinger equation)
• Scattering of particles by long-range magnetic fields
• High-energy behavior of the scattering amplitude for a Dirac operator
• Geometrical approach to inverse scattering for the Dirac equation
• An Inverse Problem for the Wave Equation with First Order Perturbation
• On the uniqueness of inverse scattering for N-body systems
• A stationary approach to inverse scattering for schrodinger operators with first order perturbation
• Geometric approach to inverse scattering for the Schrödinger equation with magnetic and electric potentials
• The geometrical approach to multidimensional inverse scattering