Fundamental transfer matrix and dynamical formulation of stationary scattering in two and three dimensions

@article{Loran2021FundamentalTM,
  title={Fundamental transfer matrix and dynamical formulation of stationary scattering in two and three dimensions},
  author={Farhang Loran and Ali Mostafazadeh},
  journal={Physical Review A},
  year={2021}
}
We offer a consistent dynamical formulation of stationary scattering in two and three dimensions that is based on a suitable multidimensional generalization of the transfer matrix. This is a linear operator acting in an infinite-dimensional function space which we can represent as a 2 × 2 matrix with operator entries. This operator encodes the information about the scattering properties of the potential and enjoys an analog of the composition property of its one-dimensional ancestor. Our… Expand

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