English

Inverse Scattering on Matrices with Boundary Conditions

Mathematical Physics 2007-05-23 v1 math.MP

Abstract

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.

Keywords

Cite

@article{arxiv.math-ph/0702073,
  title  = {Inverse Scattering on Matrices with Boundary Conditions},
  author = {M. Harmer},
  journal= {arXiv preprint arXiv:math-ph/0702073},
  year   = {2007}
}
R2 v1 2026-07-22T16:29:14.673Z