论文标题

2DSchrödinger操作员的散射操作员和波浪操作员具有阈值障碍物

Scattering operator and wave operators for 2D Schrödinger operators with threshold obstructions

论文作者

Richard, Serge, de Aldecoa, Rafael Tiedra, Zhang, Lyang

论文摘要

我们确定二维Schrödinger操作员的散射操作员的低能行为,其在0能量时具有任何类型的障碍物。我们还在没有P呼声的情况下为波算子提供了明确的公式,在这种情况下概述了莱文森定理的拓扑版本。

We determine the low-energy behaviour of the scattering operator of two-dimensional Schrödinger operators with any type of obstructions at 0-energy. We also derive explicit formulas for the wave operators in the absence of p-resonances, and outline in this case a topological version of Levinson's theorem.

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