Mathematical Sciences: The Discrete Self-Trapping Equation

数学科学：离散自陷方程

• 批准号: 8702066
• 负责人: Alwyn Scott
• 金额: $ 3.56万
• 依托单位: University of Arizona
• 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: 1987-09-01 至 1989-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8702066&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Discrete; Self; Trapping

This project represents a research program to study the discrete self-trapping (DST) equation. This equation serves as a model for many important effects in applied science ranging from charge transport in crystals to protein dynamics. Basic properties of the classical DST equation are reviewed and a straightforward quantum procedure is outlined. The proposed research includes: i) Study of a phase transition that appears as anharmonicity is increased, ii) Study of DST for many degrees of freedom, iii) Determination of the effects of anharmonicity in DST on "Anderson localization", and iv) Applications of the quantum theory to compute power spectra of solution trajectories.

该项目是一项研究计划， 离散自陷（DST）方程。 这个方程作为一个 应用科学中许多重要效应的模型， 晶体中的电荷传输到蛋白质动力学。 基本 对经典DST方程的性质进行了评述， 简单的量子程序概述。 拟议 研究包括：i）研究出现的相变， 非谐性增加，ii）DST研究的许多程度的 自由，iii）确定非谐性的影响 DST对“安德森本地化”，和iv）应用的 量子理论计算的解决方案轨迹的功率谱。