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

Ballesteros M, Franco G, Schulz-Baldes H (2021)

Publication Type: Journal article

Publication year: 2021

Journal

Journal of Mathematical Analysis and Applications Elsevier

Book Volume: 497

Article Number: 124856

Journal Issue: 1

DOI: 10.1016/j.jmaa.2020.124856

Abstract

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.

Authors with CRIS profile

Hermann Schulz-Baldes Professur für Mathematik (Mathematische Physik)

Involved external institutions

National Autonomous University of Mexico / Universidad Nacional Autónoma de México (UNAM) MX Mexico (MX)

How to cite

APA:

Ballesteros, M., Franco, G., & Schulz-Baldes, H. (2021). Analyticity properties of the scattering matrix for matrix Schrödinger operators on the discrete line. Journal of Mathematical Analysis and Applications, 497(1). https://doi.org/10.1016/j.jmaa.2020.124856

MLA:

Ballesteros, Miguel, Gerardo Franco, and Hermann Schulz-Baldes. "Analyticity properties of the scattering matrix for matrix Schrödinger operators on the discrete line." Journal of Mathematical Analysis and Applications 497.1 (2021).

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