Properties of Atoms in High External Fields (Physics)

这笔拨款是为了支持对量子系统的研究，这些系统显示出规则和不规则的经典轨迹，并借助于各种半经典方法，其中一些是传统的，一些是最近发展起来的。在第一年，人们的注意力将集中在强外场中的高激发原子上。在低能弱场下，这些系统呈现准周期运动轨迹，半经典能量和波函数可以通过量子化作用变量来计算。对于高能或强场，轨迹是混沌的，不能使用熟悉的方法。正在发展的一种理论表明，跃迁幅度的有序波动与这类系统的闭合轨道有关。

This grant is to support studies of quantum systems that display regular and irregular classical trajectories with the aid of various semiclassical methods, some traditional and some very recently developed. In the first year, attention will be focused on highly excited atoms in strong external fields. At low energies and weak fields, these systems show quasiperiodic trajectories, and semiclassical energies and wavefunctions can be calculated by quantization of action variables. For high energies or strong fields, the trajectories are chaotic and familiar methods cannot be used. A theory is being developed that shows that orderly fluctuations in transition amplitudes are associated with closed orbits of such systems.