Abstract
In this article we consider the Schrödinger operator inR n,n≧3, with electric and magnetic potentials which decay exponentially as |x|→∞. We show that the scattering amplitude at fixed positive energy determines the electric potential and the magnetic field.
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Communicated by B. Simon
This research was supported by National Science Foundation Grant DMS93-05882.
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Eskin, G., Ralston, J. Inverse scattering problem for the Schrödinger equation with magnetic potential at a fixed energy. Commun.Math. Phys. 173, 199–224 (1995). https://doi.org/10.1007/BF02100187
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DOI: https://doi.org/10.1007/BF02100187