Inverse scattering on the line with a transfer condition

Sonja Currie; Marlena Nowaczyk; Bruce Alastair Watson

doi:10.1007/s00009-014-0425-y

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arXiv · 1707.01008

Inverse scattering on the line with a transfer condition

Sonja Currie·Marlena Nowaczyk·Bruce Alastair Watson

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Abstract

The inverse scattering problem for Sturm-Liouville operators on the line with a matrix transfer condition at the origin is considered. We show that the transfer matrix can be reconstructed from the eigenvalues and reflection coefficient. In addition, for potentials with compact essential support, we show that the potential can be uniquely reconstructed.

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BibTeX RIS

Sonja Currie, Marlena Nowaczyk, Bruce Alastair Watson. 2017-07-04. Inverse scattering on the line with a transfer condition. https://doi.org/10.1007/s00009-014-0425-y

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