arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2007.12205math-phmath.MPmath.SP
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周期开孔结构的色散关系和频谱

Dispersion relations and spectra of periodically perforated structures

Peter Kuchment, Jari Taskinen

摘要:

我们建立了R^n中具有周期穿孔的周期Schrödiner算子的谱的绝对连续性。我们还证明了色散关系对穿孔形状的解析依赖性。

英文摘要:

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.

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。

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