Quantum Dynamics and Scattering Theory

量子动力学和散射理论

• 批准号: 0073544
• 负责人: Eric Heller
• 金额: $ 54.2万
• 依托单位: Harvard University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2000
• 资助国家: 美国
• 起止时间: 2000-08-01 至 2003-07-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0073544&HistoricalAwards=false
• 关键词: Quantum; Dynamics; Scattering; Theory

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.

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，继续他对长波、超冷散射现象的研究，包括接近共振和冷碰撞。将进行与分子物理学相关的半经典方法和隧道现象的研究。此外，将开始对介观系统进行新的探索，特别是与原子波导相关的受限几何散射，STM量子圈中的近藤散射和共振，以及表面上小分子的分子STM光谱和动力学。本课程将探讨本征函数的相空间局部化，重点是单分子衰变寿命的统计。海勒还得到了科学素养计划的支持，举办了一个受量子混沌研究启发的公开展览。这里的每个项目都有共同的线索，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联系在一起，包括基础数学理论以及计算机建模和计算机实验。这项研究的结果将使人们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。非正式的科学教育项目将证明，发现和知识可以从可视化中产生。