论文标题
Schrödinger操作员的绝对连续频谱，带有随机衰减的矩阵电势
Absolutely Continuous Spectrum For Schrödinger Operators With Random Decaying Matrix Potentials on The Strip
论文作者
论文摘要
我们考虑一个随机的Schrödinger操作员在离散条上的一家家族，其随机$ \ ell^2 $矩阵潜力。我们证明，除了随机的，可能嵌入的特征值外，频谱几乎肯定是绝对连续的，它可能会在带边缘积聚。
We consider a family of random Schrödinger operators on the discrete strip with decaying random $\ell^2$ matrix potential. We prove that the spectrum is almost surely pure absolutely continuous, apart from random, possibly embedded eigenvalues, which may accumulate at band edges.
