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Inverse scattering problem for the Schrödinger equation with magnetic potential at a fixed energy

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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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Authors and Affiliations

  1. Department of Mathematics, University of California, 90024, Los Angeles, CA, USA

    G. Eskin & J. Ralston

Authors
  1. G. Eskin
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  2. J. Ralston
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Additional information

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

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