Dynamics and Control of Atomic, Molecular and Optical Systems

我们的研究将有助于理解和控制量子系统的动力学，包括但不限于电子从原子、囚禁原子、超冷气体和分子中逃逸。我们使用构造量子波函数的方法，这些方法利用了从现代经典力学中产生的新知识和见解。将发展理论并进行计算，以描述电子在电场和磁场中从原子中逃逸，近线性分子振动和旋转的量子控制，冷捕获原子的控制，以及捕获原子从一个储存库到另一个储存库的泵送。此外，我们还计划用同样的理论来研究洋流中的混沌传输模型。量子系统的控制是现代物理学的“重大挑战”之一。这项研究跨越了物理、数学和化学的许多学科。我们对场中原子电离的研究与混沌输运理论和动力系统稳定性理论直接相关。同样的理论也被用来设计航天器的轨迹，检查彗星的轨道，分析单分子反应，以及研究流星从火星到地球的运输。

Our research will lead to understanding and control of the dynamics of quantum systems, including but not limited to electrons escaping from atoms, trapped atoms, ultracold gases, and molecules. We use methods for constructing quantum wave functions that take advantage of the new knowledge and the insights that arise from modern classical mechanics. Theory will be developed and computations will be made to describe escape of electrons from atoms in electric and magnetic fields, quantum control of vibrations and rotations of nearly linear molecules, control of cold trapped atoms, and pumping of trapped atoms from one reservoir to another. In addition we plan to use the same theory to study models of chaotic transport in ocean currents.Control of quantum systems is one of the "grand challenges" of modern physics. This research cuts across many disciplines in physics, mathematics and chemistry. Our study of ionization of atoms in fields is directly connected to theories of chaotic transport and theories of stability of dynamical systems. The same theory is used to design spacecraft trajectories, examine orbits of comets, analyze unimolecular reactions, and study transport of meteors from Mars to the Earth.