US-France Cooperative Research: Geometrical Analysis of the Vibrational Dynamics of Highly Excited Molecules with Three Degrees-of-Freedom

美法合作研究：三自由度高激发分子振动动力学的几何分析

• 批准号: 9910196
• 负责人: Stephen Wiggins
• 金额: $ 1.8万
• 依托单位: California Institute of Technology
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1999
• 资助国家: 美国
• 起止时间: 1999-09-01 至 2002-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9910196&HistoricalAwards=false
• 关键词: US; France; Cooperative; Research; Geometrical

9910196WigginsThis three-year award supports US-France cooperative research in applied mathematics between Stephen Wiggins of the California Institute of Technology and Laurent Wiesenfeld of the Laboratoire de Spectrometrie Physique at the University of Grenoble. The objective of their research is to study molecular vibrations at high energies. Their mathematical approach to this problem involves the geometrical theory of dynamical systems and Hamiltonian mathematics.The US investigator brings to this collaboration expertise in Hamiltonian mathematics. This is complemented by French expertise in geometric theory and chemical physics. The project will further understanding of vibrational dynamics of highly excited molecules, a problem at the forefront of research in chemical physics.

9910196 Wiggins这个为期三年的奖项支持加州理工学院的Stephen Wiggins和格勒诺布尔大学光谱物理实验室的Laurent Wiesenfeld在应用数学方面的美法合作研究。他们的研究目标是研究高能下的分子振动。他们解决这个问题的数学方法涉及动力系统的几何理论和哈密顿数学。这位美国研究人员将哈密顿数学的专业知识带到了这次合作中。此外，法国在几何理论和化学物理方面的专业知识也起到了补充作用。该项目将进一步了解高激发态分子的振动动力学，这是化学物理研究的前沿问题。