论文标题

一维离散迪拉克方程的散射特性和分散估计值

Scattering Properties and Dispersion Estimates for a One-Dimensional Discrete Dirac Equation

论文作者

Kopylova, Elena, Teschl, Gerald

论文摘要

我们得出具有潜力的一维离散dirac方程的解决方案的分散估计。特别是,我们改善了先前的结果,削弱了潜力的条件。为此,我们还为相应的dirac操作员提供了有关散射的新结果,这些零件具有独立感兴趣。最值得注意的是,我们表明反射和传输系数属于Wiener代数。

We derive dispersion estimates for solutions of a one-dimensional discrete Dirac equations with a potential. In particular, we improve our previous result, weakening the conditions on the potential. To this end we also provide new results concerning scattering for the corresponding perturbed Dirac operators which are of independent interest. Most notably, we show that the reflection and transmission coefficients belong to the Wiener algebra.

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