Determining Asymptotics of Magnetic Fields from Fixed Energy Scattering Data
Mark S. Joshi, Antonio Sa Barreto
Abstract
The problem of recovering the asymptotics of a short range perturbation of the Euclidean Laplacian on n dimensional Eudlidean space from fixed energy scattering data is studied. It is shown that for greater than or equal to three that a magnetic potential is determined, modulo Gauge invariance, by its scattering matrix at a fixed non-zero energy. This result also holds for a wide class of scattering manifolds.
Create a lesson
Related papers
Arbitrarily Fast Quantum Dispersion in Long-Range Crystals
Gaétan Leclerc, Mostafa Sabri, Tuomas Sahlsten
On the Real Spectum of the One-Dimensional Dirac Operator with PT-Symmetric Coefficients
O. A. Veliev
Decay estimates for the Schrödinger operators with electro-magnetic potentials in dimension two with obstructions at zero energy
Lei Wei
Weyl's law and Pólya's conjecture for the Vladimirov-Taibleson operator
Yaojia Sun
Uniform Resolvent Estimates for the Discrete Schrödinger Operator in Higher Dimensions
Yuda Chen
An elementary counterexample to Escobar's Steklov conjecture on the three-ball
Alexandre Girouard, Thomas Hélière