U.S.-France Cooperative Research: Applications of a New Theory of Large Amplitude Collective Motion

美法合作研究：大振幅集体运动新理论的应用

• 批准号: 8714577
• 负责人: Abraham Klein
• 金额: --
• 依托单位: University of Pennsylvania
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1988
• 资助国家: 美国
• 起止时间: 1988-02-15 至 1991-07-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8714577&HistoricalAwards=false
• 关键词: U.S.; France; Cooperative; Research; Applications

This award will support collaborative research between Professor Abraham Klein of the University of Pennsylvania, Philadelphia, and Dr. G. Do Dang of the Laboratory of Theoretical Physics and High Energies, University of Paris (South). They will examine applications of a new theory of large amplitude collective motion, which may account for certain forms of collective rotational or vibrational motion in atomic nuclei. The two researchers have been working since 1984 on this new theory, which is a development in quantum-mechanical terms of the classical Hartree-Fock formulation. The Wigner transform is used to make the required quantum transformations. Following the development of the new theory, its applicability to systems of practical importance will be examined. This award provides the opportunity for Professor Klein and Dr. Do Dang to apply the theory to the description of large deviations from ground-state equilibrium configurations, well described by classical Hartree-Fock models. This research could lead to increased understanding of large-amplitude problems in classical mechanics, and of certain problems in both fission and fusion reactions.

该奖项将支持费城宾夕法尼亚大学的 Abraham Klein 教授和巴黎大学（南）理论物理与高能实验室的 G. Do Dang 博士之间的合作研究。 他们将研究新的大幅集体运动理论的应用，该理论可能解释原子核中某些形式的集体旋转或振动运动。 两位研究人员自 1984 年以来一直致力于这一新理论的研究，该理论是经典 Hartree-Fock 公式在量子力学方面的发展。 维格纳变换用于进行所需的量子变换。 随着新理论的发展，将检验其在具有实际意义的系统中的适用性。 该奖项为 Klein 教授和 Do Dang 博士提供了将该理论应用于描述基态平衡配置的大偏差的机会，经典 Hartree-Fock 模型很好地描述了这一点。 这项研究可以增进对经典力学中的大幅问题以及裂变和聚变反应中的某些问题的理解。