非周期固体的Bragg谱、K理论和能隙标记
Bragg spectrum, K-theory and Gap Labelling of aperiodic solids
摘要：
非周期固体的衍射谱与该固体动力系统的本征值群有关。这些具有连续本征函数的本征值构成拓扑布拉格谱。我们将拓扑布拉格谱与固体的拓扑不变量（陈数）和间隙标记群联系起来，间隙标记群是描述固体中电子运动的薛定谔算符谱的可能间隙标记群。
英文摘要：
The diffraction spectrum of an aperiodic solid is related to the group of eigenvalues of the dynamical system associated with the solid. Those eigenvalues with continuous eigenfunctions constitute the topological Bragg spectrum. We relate the topological Bragg spectrum to the topological invariants (Chern numbers) of the solid and to the gap-labelling group, which is the group of possible gap labels for the spectrum of a Schrödinger operator describing the electronic motion in the solid.
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。
