论文标题
关于2-D磁量子系统的渐近动力学
On the asymptotic dynamics of 2-D magnetic quantum systems
论文作者
论文摘要
在这项工作中，我们为某些二维磁量子系统的空间（动态定位）中长期定位提供了结果。底层汉密尔顿的基础可能具有$ h = h_0+w $的形式，其中$ h_0 $是旋转对称的，具有密集的点频谱，而$ w $是打破旋转对称性的扰动。 在后一种情况下，我们还会及时地估计角动量操作员的生长。
In this work we provide results on the long time localisation in space (dynamical localisation) of certain two-dimensional magnetic quantum systems. The underlying Hamiltonian may have the form $H=H_0+W$, where $H_0$ is rotationally symmetric, has dense point spectrum, and $W$ is a perturbation that breaks the rotational symmetry. In the latter case, we also give estimates for the growth of the angular momentum operator in time.
