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.

利用基于朗之万方程的经典输运理论，研究了简单库仑系统的本征和外在混沌动力学。计划扩展以包括量子力学效应，以描绘经典描述的适用范围。采用运动方程的分子动力学方法研究了不规则量子系统的本征值谱，并将其应用于共振现象的研究。最后，我们将对类氦系统中的高激发态共振进行半经典和量子力学研究，以考察共振的位置和宽度及其衰变模式和分支比。