Band Edge Limit of the Scattering Matrix for Quasi-One-Dimensional Discrete Schrodinger Operators

Ballesteros M, Franco G, Garro G, Schulz-Baldes H (2022)

Publication Type: Journal article

Publication year: 2022

Journal

Complex Analysis and Operator Theory Springer Verlag (Germany)

Book Volume: 16

Journal Issue: 2

DOI: 10.1007/s11785-022-01196-w

Abstract

This paper is about the scattering theory for one-dimensional matrix Schrodinger operators with a matrix potential having a finite first moment. The transmission coefficients are analytically continued and extended to the band edges. An explicit expression is given for these extensions. The limits of the reflection coefficients at the band edges are also calculated.

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., Garro, G., & Schulz-Baldes, H. (2022). Band Edge Limit of the Scattering Matrix for Quasi-One-Dimensional Discrete Schrodinger Operators. Complex Analysis and Operator Theory, 16(2). https://dx.doi.org/10.1007/s11785-022-01196-w

MLA:

Ballesteros, Miguel, et al. "Band Edge Limit of the Scattering Matrix for Quasi-One-Dimensional Discrete Schrodinger Operators." Complex Analysis and Operator Theory 16.2 (2022).

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