离散射线上的薛定谔波算子
Schroedinger wave operators on the discrete half-line
摘要：
从薛定谔算子的定态表达式出发，导出了离散半射线上与薛定谔算子相关的波算子的显式表达式。该公式使我们能够把波算子理解为零阶的一维伪微分算子。作为应用，我们给出了Levinson定理的一个拓扑解释，该定理将散射相移与系统的束缚态数目联系起来。
英文摘要：
An explicit formula for the wave operators associated with Schroedinger operators on the discrete half-line is deduced from their stationary expressions. The formula enables us to understand the wave operators as one dimensional pseudo-differential operators of order zero. As an application, we give a topological interpretation for Levinson's theorem, which relates the scattering phase shift and the number of bound states of the system.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
