Gauge equivalence and inverse scattering for long-range magnetic potentials

Details Gauge equivalence and inverse scattering for long-range magnetic potentials Gauge equivalence and inverse scattering for long-range magnetic potentials

2011-05-06

arxiv.org/abs/1105.1204v1

Russian Journal of Mathematical Physics, Vol 18, No 1, 2010, pp 19-28

Physics

Mathematical Physics

Scientific paper

10.1134/S1061920810040084

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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