Rigorous Studies in Quantum Mechanics

量子力学的严谨研究

• 批准号: 0907165
• 负责人: George Hagedorn
• 金额: $ 33.7万
• 依托单位: Virginia Polytechnic Institute and State University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2009
• 资助国家: 美国
• 起止时间: 2009-07-01 至 2013-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0907165&HistoricalAwards=false
• 关键词: Rigorous; Studies; Quantum; Mechanics

This award is funded under the American Recovery and Reinvestment Act of 2009 (Public Law 111-5).This project has three main goals. The first is to develop new techniques in time-dependent molecular quantum mechanics that are specifically designed to describe proton transfer reactions. These reactions are fundamental to many chemical and biological processes. The second goal is to study Anderson localization phenomena for certain random quantum mechanical models recently developed by physicists. These phenomena are crucial to the understanding of how electrons move in various materials. The third goal is to study the breakup of chemical states that have finite lifetimes. Secondary goals involve the study of electric dipole moments of molecules, bound states of rapidly rotating molecules, and molecules in magnetic fields.The principal investigators, their collaborators, and their graduate students will concentrate on mathematical problems in two areas. One area is chemistry, where the project will develop new techniques for use by computational chemists studying chemical reactions. The second area is the physics of disordered media, where the project will provide further insight for why some materials are conductors while others are insulators.

该奖项是根据2009年美国复苏和再投资法案(公法111-5)资助的。该项目有三个主要目标。首先是开发专门用于描述质子转移反应的含时分子量子力学的新技术。这些反应是许多化学和生物过程的基础。第二个目标是研究物理学家最近发展起来的某些随机量子力学模型的Anderson局域化现象。这些现象对于理解电子在各种材料中的运动方式至关重要。第三个目标是研究有限寿命的化学态的分解。次要目标包括研究分子的电偶极矩、快速旋转分子的束缚态和磁场中的分子。主要研究人员、他们的合作者和他们的研究生将专注于两个领域的数学问题。其中一个领域是化学，该项目将开发新技术，供研究化学反应的计算化学家使用。第二个领域是无序介质的物理学，该项目将为为什么一些材料是导体而另一些材料是绝缘体提供进一步的见解。