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Gauge equivalence and inverse scattering for long-range magnetic potentials

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Published Article
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DOI: 10.1134/S1061920810040084
arXiv ID: 1105.1204
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arXiv
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Abstract

For Schroedinger operators with long-range magnetic vector potentials and short-range electric scalar potentials in an exterior domain $\Omega$ in ${\bf R}^n$ with $n \geq 2$, we show that there is a one-to-one correspondence between the gauge equivalent classes of Hamiltonians and those of S-matrices if $\Omega$ is exterior to a bounded convex obstacle.

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