成角度切割的周期系统的谱性质
Spectral properties of periodic systems cut at an angle
摘要：
我们考虑一个半周期的二维薛定谔算子，它被切割成一个角度。当切割与周期晶格相称时，算符的谱具有带隙布洛赫结构。我们证明，在不可分割的情况下，有没有差距：散装运营商的差距是由边缘谱填充。
英文摘要：
We consider a semi-periodic two-dimensional Schrödinger operator which is cut at an angle. When the cut is commensurate with the periodic lattice, the spectrum of the operator has the band-gap Bloch structure. We prove that in the incommensurable case, there are no gaps: the gaps of the bulk operator are filled with edge spectrum.
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