Classical and Quantum Mechanical Investigations of Stochastic Perturbations of Coulomb Orbits (Physics)

库仑轨道随机扰动的经典和量子力学研究（物理学）

• 批准号: 8709541
• 负责人: Joachim Burgdorfer
• 金额: $ 5.22万
• 依托单位: University of Tennessee Knoxville
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1987
• 资助国家: 美国
• 起止时间: 1987-08-15 至 1990-01-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8709541&HistoricalAwards=false
• 关键词: Classical; Quantum; Mechanical; Investigations; Stochastic

It is proposed to make a numerical study, both classically and quantum mechanically, of the stability of distorted Coulomb orbits under the influence of stochastic perturbations. The primary goal of the investigation is the study of the atomic dynamics under the influence of strong noise. The method we will use is the numerical Monte-Carlo solution of a classical Langevin equation and the solution of a quantum master equation for the reduced atomic density matrix. The comparison between the classical and the quantum treatment should provide novel information on the degree of suppression of indeterministic (stochastic) diffusion due to discreteness effects of quantum states. Applications will focus on the dynamical evolution of excited states of fast atomic particles penetrating solids under the combined influence of stochastic collision processes and dynamical screening in the many-body target.

建议进行数值研究，既经典 和量子力学，扭曲库仑的稳定性， 随机扰动影响下的轨道。 的 调查的主要目标是研究原子 在强噪声影响下的动态特性。 该方法我们 将使用的是一个经典的数值蒙特-卡罗解决方案 朗之万方程与量子主方程的解 约化原子密度矩阵。 之间的比较 经典和量子处理应该提供新的 不确定性抑制程度的信息 量子离散效应引起的（随机）扩散 states. 应用程序将集中在动态演变的 穿透固体的快原子粒子的激发态 在随机碰撞过程的共同影响下 以及多体靶中的动力学屏蔽。