论文标题
schrödinger操作员的不变图和光谱类型
Invariant graphs and spectral type of Schrödinger operators
论文作者
论文摘要
在本文中，我们研究具有与准周期性作用相关的准周期电位的Schrödinger运算符的光谱特性，最大程度地减少了用于分析扭曲图的轨迹。我们证明频谱包含绝对连续频谱的组件，前提是扭曲图的相应轨迹属于分析不变曲线。
In this paper we study spectral properties of Schrödinger operators with quasi-periodic potentials related to quasi-periodic action minimizing trajectories for analytic twist maps. We prove that the spectrum contains a component of absolutely continuous spectrum provided that the corresponding trajectory of the twist map belongs to an analytic invariant curve.
