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Paper detail

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

Explicit formulas for the analytic extensions of the scattering matrix and the time delay of a quasi-one-dimensional discrete Schrödinger 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.

preprint2021arXivOpen access
Miguel BallesterosGerardo Franco CórdovaHermann Schulz-Baldes
math-phmath.MP
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Miguel BallesterosGerardo Franco CórdovaHermann Schulz-Baldes

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