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arXiv · 2008.02177

Band edge limit of the scattering matrix for quasi-one-dimensional discrete Schr\"odinger operators

Miguel Ballesteros·Gerardo Franco Córdova·Guillermo Garro·Hermann Schulz-Baldes
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Abstract

This paper is about the scattering theory for one-dimensional matrix Schr\"odinger 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 is also calculated.

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Miguel Ballesteros, Gerardo Franco Córdova, Guillermo Garro, Hermann Schulz-Baldes. 2020-08-05. Band edge limit of the scattering matrix for quasi-one-dimensional discrete Schr\"odinger operators. https://arxiv.org/abs/2008.02177

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