Erratum to the paper “Absolute continuity of the spectrum of a Schrödinger operator with a potential which is periodic in some directions and decays in others”
Erratum to the paper “Absolute continuity of the spectrum of a Schrödinger operator with a potential which is periodic in some directions and decays in others”
复制标题
论文勘误“薛定谔算子谱的绝对连续性，其势在某些方向上是周期性的，在其他方向上是衰减的”
作者：
N. Filonov;F. Klopp
证明了具有在某些方向上周期而在另一些方向上超指数衰减势的薛定谔算子的谱是纯绝对连续的。因此，我们减少了运营商使用的Bloch-Floquet-Gelfand变换的周期变量，并表明，除了至多一组准动量的措施零，减少运营商满足限制吸收原理。
We prove that the spectrum of a Schrodinger operator with a potential which is periodic in certain directions and super- exponentially decaying in the others is purely absolutely continuous. Therefore, we reduce the operator using the Bloch-Floquet-Gelfand transform in the periodic variables, and show that, except for at most a set of quasi-momenta of measure zero, the reduced operators satisfies a limiting absorption principle.