Simulation Studies of Quantum Systems

量子系统的模拟研究

• 批准号: 8718983
• 负责人: Geoffrey Chester
• 金额: $ 5万
• 依托单位: Cornell University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1988
• 资助国家: 美国
• 起止时间: 1988-02-01 至 1989-07-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8718983&HistoricalAwards=false
• 关键词: Simulation; Studies; Quantum; Systems

The investigation of quantum-mechanical many-body systems has been an important focus of theoretical researchers in statistical physics. They use Green's function Monte Carlo and path integral Monte Carlo to provide detailed microscopic information about the properties of quantum systems, especially quantum fluids and crystals. They will continue to study the structure of two- and three- dimensional quantum fluids and solids and the nature of the melting-freezing transition at T = 0 and above. They will emphasize the development of improved solid trial wavefunctions. Studies of the changes in higher-order correlation functions as the system freezes will be continued. They intend to calculate properties such as elastic constants in two and three dimensions and the role of topological defects in two dimensions. The computational results will be interpreted with the help of empirical and of density-functional theories. They will also attempt to construct phenomenological density matrices to describe Bose fluids and to investigate pressure melting of Yukawa quantum systems. Another new area will be the investigation into the properties of inhomogeneous systems, including slabs with liquid-vapor interfaces, quantum vortices, droplets having large angular momenta, impurities in liquid Helium 4, and two-dimensional systems adsorbed on a substrate. Studies will be continued of the effects of various proposed Helium-Helium potentials.

量子力学多体系统的研究 一直是统计学理论研究者关注的一个重要焦点 物理学 他们使用绿色函数蒙特卡罗和路径积分 蒙特卡洛提供详细的微观信息， 量子系统的性质，特别是量子流体， 晶体 他们将继续研究两个和三个- 三维量子流体和固体以及 在T = 0和更高温度下的熔融-凝固转变。 他们将 强调改进的固体试探波函数的发展。 高阶相关函数的变化研究 系统将继续冻结。 他们打算计算 二维和三维的弹性常数等性质 以及二维拓扑缺陷的作用。 的 计算结果将被解释的帮助下， 经验的和密度泛函理论。 他们还将 试图构建现象学密度矩阵， 描述玻色流体和研究压力熔化 汤川量子系统。 另一个新的领域将是 研究非均匀系统的性质， 包括具有液体-蒸汽界面的平板，量子涡旋， 具有大角动量的液滴，液体中的杂质 氦4和吸附在基底上的二维系统。 将继续研究各种建议的影响， 氦-氦势