Inverse scattering for the magnetic Schrödinger operator

DOI10.1016/j.jfa.2010.06.002zbMath1254.81092arXiv0908.3977OpenAlexW2964183127MaRDI QIDQ990167

Mikko Salo, Gunther Uhlmann, Lassi Päivärinta

Publication date: 6 September 2010

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0908.3977

zbMATH Keywords

Schrödinger operatorinverse scatteringcomplex geometrical opticssemiclassical pseudodifferential calculus

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Scattering theory for PDEs (35P25) Inverse scattering problems in quantum theory (81U40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Geometric optics (78A05)

Related Items (14)

Cones with convoluted geometry that always scatter or radiate ⋮ The direct and inverse scattering problem for the semilinear Schrödinger equation ⋮ Inverse scattering for the magnetic Schrödinger operator on surfaces with Euclidean ends ⋮ Spectral invariants of the magnetic Dirichlet-to-Neumann map on Riemannian manifolds ⋮ Determining Lamé coefficients by the elastic Dirichlet-to-Neumann map on a Riemannian manifold ⋮ Inverse scattering for Dirac operators on surfaces with Euclidean ends ⋮ Inverse scattering problem for the high order Schrödinger operator at fixed angles scattering amplitude ⋮ Rellich type theorems for unbounded domains ⋮ Free boundary methods and non-scattering phenomena ⋮ Inverse scattering at fixed energy for radial magnetic Schrödinger operators with obstacle in dimension two ⋮ Inverse scattering at fixed energy on surfaces with Euclidean ends ⋮ Inverse scattering for the higher order Schrödinger operator with a first order perturbation ⋮ Born approximation for the magnetic Schrödinger operator ⋮ An inverse problem for the non-linear fractional magnetic Schrödinger equation

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