Classical and Quantum Mechanical Investigations of Stochastic Perturbations of Coulomb Orbits

库仑轨道随机扰动的经典和量子力学研究

• 批准号: 9213396
• 负责人: Joachim Burgdorfer
• 金额: $ 15.6万
• 依托单位: University of Tennessee Knoxville
• 依托单位国家: 美国
• 项目类别: Continuing grant
• 财政年份: 1992
• 资助国家: 美国
• 起止时间: 1992-08-15 至 1996-01-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9213396&HistoricalAwards=false
• 关键词: Classical; Quantum; Mechanical; Investigations; Stochastic

The intrinsic and extrinsic chaotic dynamics of simple Coulomb systems is studied using classical transport theory based on a Langevin equation. Extensions to include quantum mechanical effects are planned to delineate the domain of applicability of the classical description. Molecular dynamics using an equation of motion approach is used to investigate the eigenvalue spectrum of irregular quantum systems and will be applied to study resonance phenomena. Finally, a semiclassical and quantum mechanical study of highly excited resonances in He-like systems will be initiated to examine the positions and widths of resonances and their decay modes and branching ratios.

使用基于langevin方程的经典传输理论研究了简单库仑系统的内在和外在混沌动力学。 计划包括量子机械效应的扩展，以描绘经典描述的适用性领域。 使用运动方法方程的分子动力学用于研究不规则量子系统的特征值光谱，并将应用于研究共振现象。 最后，将启动对HE样系统中高度激发共振的半经典和量子机械研究，以检查共振的位置和宽度及其衰减模式和分支比率。