Theoretical Investigations of Particle Channeling in Crystals

晶体中粒子沟道的理论研究

• 批准号: 8704348
• 负责人: James Ellison
• 金额: $ 10.56万
• 依托单位: University of New Mexico
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1987
• 资助国家: 美国
• 起止时间: 1987-10-15 至 1991-03-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8704348&HistoricalAwards=false
• 关键词: Theoretical; Investigations; Particle; Channeling; Crystals

Particle channeling occurs when an energetic charged particle beam is aligned with a major crystal axis or plane. Channeling has contributed in important ways to our understanding of particle motion in solids at the fundamental level and just as significantly has led to numerous applications in physics and technology. Furthermore, channeling is a new source of interesting and challenging mathematical problems in dynamical systems and stochastic processes. A complete understanding of channeling requires detailed knowledge of the channeling particle motion and the spatial and momentum densities of the particles as they penetrate the crystal. Ellison's mathematical approach to the study of channeling will continue including: channeling effects in strain-layer superlattices and other distorted crystals, channeling radiation and related quantum electrodynamical processes; multiple scattering effects viewed as particle motion in a random media; and channeling in perfect crystals viewed within the context of dynamical systems. This research will deepen our knowledge of channeling, extend its usefulness and lead to new applications. Furthermore, the dynamical systems and probabilistic methods developed to solve these problems will be of general applicability and will have importance in other areas of mathematical science.

当一个高能带电粒子 光束与主晶轴或晶面对准。 窜 在很大程度上帮助我们理解 在基本水平上的固体粒子运动， 在物理学中有许多应用， 技术. 此外，通灵是一个新的来源， 动力学中有趣且具有挑战性的数学问题 系统和随机过程。 完全理解 窜流需要对窜流粒子有详细的了解 运动和粒子的空间和动量密度， 它们会穿透晶体 埃里森的数学方法来研究沟道将 继续包括：应变层沟道效应 超晶格和其他扭曲晶体，沟道辐射 和相关的量子电动力学过程;多重 散射效应被视为随机介质中的粒子运动; 和沟道在完美的晶体中的背景下， 动力系统 这项研究将加深我们对 渠道，扩大其用途，并导致新的应用。 此外，动力系统和概率方法 为解决这些问题而开发的将是一般的 适用性，并将在其他领域的重要性， 数学科学