Determination of matrix exponentially decreasing potential from scattering matrix

@inproceedings{Xu2017DeterminationOM,
  title={Determination of matrix exponentially decreasing potential from scattering matrix},
  author={Xiao-chuan Xu and Chuan-Fu Yang},
  year={2017}
}
(i) For the matrix Schrödinger operator on the half line, it is shown that if the potential exponentially decreases fast enough then only the scattering matrix uniquely determines the self-adjoint potential and the boundary condition. (ii) For the matrix Schrödinger operator on the full line, it is shown that if the potential exponentially decreases fast enough then the scattering matrix (or equivalently, the transmission coefficient and reflection coefficient) uniquely determine the potential… CONTINUE READING