Quantum Dynamics and Scattering Theory

哈佛大学的Eric Heller得到了理论和计算化学项目以及原子、分子、光学和等离子体物理项目的支持，继续研究长波长、超冷散射现象，包括邻近共振和冷碰撞。 将进行与分子物理相关的半经典方法和隧道现象的研究。 此外，介观系统的新的探索将开始，特别是在有限的几何散射有关的原子波导，近藤散射和共振的STM量子相干，和分子STM光谱和表面上的小分子动力学。 本课程将探讨本征函数相空间局部化的基本原理，重点是单分子衰变寿命的统计。 海勒还得到科学素养计划的支持，以制作一个受量子混沌研究启发的作品的公开展览。这里的每个项目都与共同的线索有关，包括散射理论，半经典理论和混沌理论。 它们也通过共同的方法相关联，包括基础数学理论以及计算机建模和计算机实验。 这项研究的成果将有助于更好地理解分子和小型设备的工作方式，并使设计，预测和控制它们的行为成为可能。 非正式科学教育项目将证明，发现和知识可以从可视化。

Eric Heller of Harvard University is supported by the Theoretical and Computational Chemistry Program and the Atomic, Molecular, Optical, and Plasma Physics Program to continue his investigations of long wavelength, ultracold scattering phenomena including proximity resonances and cold collisions. Studies of semiclassical approaches and tunneling phenomena with relevance to molecular physics will be undertaken. Also, new explorations of mesoscopic systems will be initiated, in particular scattering in confined geometries relevant to atomic waveguides, Kondo scattering and resonances in STM quantum corrals, and molecular STM spectroscopy and dynamics of small molecules on surfaces. Fundamental exploration of phase space localization of eigenfunctions, with emphasis on statistics of unimolecular decay lifetimes, will be pursued. Heller is also supported by the Science Literacy Program to produce a public exhibition of work inspired by quantum chaos investigations.Each of the projects here is related by common threads, including scattering theory, semiclassical theory, and chaos theory. They are also related by common approaches, including fundamental mathematical theory as well as computer modeling and computer experimentation. The outcomes of this research will enable improved understanding of the way molecules and small devices work, and to make possible the design, prediction, and control of their behavior. The informal science education project will demonstrate that discovery and knowledge can result from visualization.