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math-ph2020
Band edge limit of the scattering matrix for quasi-one-dimensional discrete Schrödinger operators
Miguel Ballesteros, Gerardo Franco Córdova, Guillermo Garro +1
This paper is about the scattering theory for one-dimensional matrix Schrödinger operators with a matrix potential having a finite first moment. The transmission coefficients are a…
math-ph2020
Analyticity properties of the scattering matrix for matrix Schrödinger operators on the discrete line
Miguel Ballesteros, Gerardo Franco Córdova, Hermann Schulz-Baldes
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 suppor…