Eigenvalue Problems in Quantum and Statistical Mechanics

量子和统计力学中的特征值问题

• 批准号: 9725080
• 负责人: M. Peter Nightingale
• 金额: $ 20.7万
• 依托单位: University of Rhode Island
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1997
• 资助国家: 美国
• 起止时间: 1997-11-01 至 2001-10-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9725080&HistoricalAwards=false
• 关键词: Eigenvalue; Problems; Quantum; Statistical; Mechanics

9725080 Nightingale This senior PI is well recognized for his highly innovative numerical work in a wide variety of problems in statistical mechanics. In this renewal grant, he is being supported to devise sophisticated algorithms and to calculate eigenvalues using quantum Monte Carlo methods. The specific applications of these calculations, in statistical mechanics are in the general area of dynamic critical phenomena, especially the universal properties. In quantum mechanics, the applications are to a calculation of properties of ground state and also excited states of both bosonic and fermionic van der Waals clusters. %%% This renewal grant supports the work of a senior PI well known for his innovative numerical work on a large number of problems in statistical mechanics and in quantum mechanics. The work here contains solutions to specific problems in both statistical mechanics and quantum mechanics, as well as development of sophisticated and complex computational algorithms. ***

9725080南丁格尔这个高级PI是公认的高度创新的数值工作在各种各样的问题统计力学。 在这个更新的补助金，他正在支持设计复杂的算法，并使用量子蒙特卡罗方法计算本征值。 这些计算在统计力学中的具体应用是动态临界现象的一般领域，特别是普适性质。 在量子力学中，应用是计算玻色子和费米子货车德瓦耳斯团簇的基态和激发态的性质。 %此更新补助金支持工作的高级PI众所周知，他的创新数值工作的大量问题，在统计力学和量子力学。 这里的工作包含解决统计力学和量子力学中的特定问题，以及开发复杂和复杂的计算算法。 ***