离散线上矩阵Schrödinger算子的散射矩阵的解析性质
数学物理
2021-01-25 v2 math.MP
摘要
我们推导了具有有限支撑势的准一维离散Schrödinger算子的散射矩阵与时间延迟的解析延拓的显式公式。这包括对带边奇点的细致分析，并得以证明一个Levinson型定理。主要的代数工具是平面波转移矩阵。
引用
@article{arxiv.2004.13099,
title = {Analyticity properties of the scattering matrix for matrix Schr\"odinger operators on the discrete line},
author = {Miguel Ballesteros and Gerardo Franco Córdova and Hermann Schulz-Baldes},
journal= {arXiv preprint arXiv:2004.13099},
year = {2021}
}
备注
minor corrections, to appear in J. Math. Analysis and its Applications