论文标题

准级离散schrödinger运算符的散射矩阵的带边缘极限

Band edge limit of the scattering matrix for quasi-one-dimensional discrete Schrödinger operators

论文作者

Ballesteros, Miguel, Córdova, Gerardo Franco, Garro, Guillermo, Schulz-Baldes, Hermann

论文摘要

本文是关于一维矩阵Schrödinger操作员的散射理论,其基质电位具有有限的第一刻。传输系数在分析上继续并扩展到频带边缘。为这些扩展提供了明确的表达。还计算了带边缘的反射系数的限制。

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 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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