论文标题

分散关系和定期穿孔结构的光谱

Dispersion relations and spectra of periodically perforated structures

论文作者

Kuchment, Peter, Taskinen, Jari

论文摘要

我们建立了带有周期性穿孔的r^n周期性schrödiner操作员光谱的绝对连续性。我们还证明了分散性关系对穿孔形状的分析依赖。

We establish absolute continuity of the spectrum of a periodic Schrödiner operator in R^n with periodic perforations. We also prove analytic dependece of the dispersion relation on the shape of the perforation.

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