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Analyticity properties of the scattering matrix for matrix Schrodinger operators on the discrete line

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 نشر من قبل Hermann Schulz-Baldes
 تاريخ النشر 2020
  مجال البحث فيزياء
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Explicit formulas for the analytic extensions of the scattering matrix and the time delay of a quasi-one-dimensional discrete Schrodinger operator with a potential of finite support are derived. This includes a careful analysis of the band edge singularities and allows to prove a Levinson-type theorem. The main algebraic tool are the plane wave transfer matrices.

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