Analyticity properties of the scattering matrix for matrix Schrödinger operators on the discrete line
نویسندگان
چکیده
Explicit formulas for the analytic extensions of scattering matrix and time delay a quasi-one-dimensional discrete Schrödinger operator with potential finite support are derived. This includes careful analysis band edge singularities allows to prove Levinson-type theorem. The main algebraic tool plane wave transfer matrices.
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2021
ISSN: ['0022-247X', '1096-0813']
DOI: https://doi.org/10.1016/j.jmaa.2020.124856