Inverse Scattering on Matrices with Boundary Conditions

Physics – Mathematical Physics

Scientific paper

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Scientific paper

We describe inverse scattering for the matrix Schroedinger operator with
general selfadjoint boundary conditions at the origin using the Marchenko
equation. Our approach allows the recovery of the potential as well as the
boundary conditions. It is easily specialised to inverse scattering on
star-shaped graphs with boundary conditions at the node.

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