High-velocity estimates for Schrödinger operators in two dimensions: Long-range magnetic potentials and time-dependent inverse scattering

DOI10.1142/S0129055X15500063zbMath1320.81091arXiv1408.2164OpenAlexW3098850043MaRDI QIDQ5254041

Ricardo Weder, Miguel Ballesteros

Publication date: 8 June 2015

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

Full work available at URL: https://arxiv.org/abs/1408.2164

zbMATH Keywords

Aharonov-Bohm effectinverse scatteringtime-dependent methodslong-range magnetic potentials

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Inverse scattering problems in quantum theory (81U40) PDEs in connection with quantum mechanics (35Q40)

Related Items (2)

Aharonov-Bohm effect and high-momenta inverse scattering for the Klein-Gordon equation ⋮ Inverse scattering for the magnetic Schrödinger operator on surfaces with Euclidean ends

Cites Work

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• Gauge equivalence and inverse scattering for long-range magnetic potentials
• Aharonov-Bohm effect and high-velocity estimates of solutions to the Schrödinger equation
• High-velocity estimates for the scattering operator and Aharonov-Bohm effect in three dimensions
• The Aharonov-Bohm effect and scattering theory
• Scattering of particles by long-range magnetic fields
• Gauge equivalence and the inverse spectral problem for the magnetic Schrödinger operator on the torus
• An inverse scattering problem with the Aharonov–Bohm effect
• Gauge Equivalence and Inverse Scattering for Aharonov–Bohm Effect
• The Aharonov$ndash$Bohm effect and time-dependent inverse scattering theory
• Significance of Electromagnetic Potentials in the Quantum Theory
• The Aharonov–Bohm effect and Tonomura et al. experiments: Rigorous results
• Geometric approach to inverse scattering for the Schrödinger equation with magnetic and electric potentials
• On the mathematical theory of the Aharonov$ndash$Bohm effect
• Quantised singularities in the electromagnetic field,
• The scattering matrix for the Schrödinger operator with a long-range electromagnetic potential
• The geometrical approach to multidimensional inverse scattering
• The Refractive Index in Electron Optics and the Principles of Dynamics

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