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arXiv 0811.3308math-phmath.MP
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量子图上的准周期表面Maryland模型

Quasiperiodic surface Maryland models on quantum graphs

Konstantin Pankrashkin

摘要:

我们研究了具有准周期耦合常数的各向同性晶格的量子图,这些耦合常数与离散表面Maryland模型的系数具有相同的表达式。描述了绝对连续谱和纯点谱。结果表明,它们之间的过渡是由希尔算子对应的边缘电位。

英文摘要:

We study quantum graphs corresponding to isotropic lattices with quasiperiodic coupling constants given by the same expressions as the coefficients of the discrete surface Maryland model. The absolutely continuous and the pure point spectra are described. It is shown that the transition between them is governed by the Hill operator corresponding to the edge potential.

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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