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

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
依托单位国家:
美国
项目类别:
Standard Grant
财政年份:
1999
资助国家:
美国
项目状态:
已结题
起止时间:
1999-09-01 至 2002-08-31

项目摘要

项目成果

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中文摘要
翻译
9910196维金斯这个为期三年的奖项支持美国-法国在应用数学方面的合作研究,该研究由加州理工学院的Stephen Wiggins和格勒诺布尔大学光谱物理实验室的Laurent Wiesenfeld共同完成。他们的研究目的是研究高能量下的分子振动。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。这位美国研究者为这次合作带来了哈密顿数学方面的专业知识。法国在几何理论和化学物理方面的专门知识补充了这一点。该项目将进一步了解高激发分子的振动动力学,这是化学物理研究的前沿问题。
英文摘要
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.
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会议论文
'The Nonlinear Dynamical Foundations of Transition State Theory in Systems with Three or More Degrees-of-Freedom'
  • 批准号:
    0071338
  • 项目类别:
    Continuing Grant
  • 资助金额:
    $21.0万
  • 财政年份:
    2000
  • 负责人:
    Stephen Wiggins
  • 依托单位:
U.S.-Spain Cooperative Research: Computational and Analytical Dynamical Systems Techniques for the Study of Global Dynamics in Theoretical Chemistry
  • 批准号:
    9910336
  • 项目类别:
    Standard Grant
  • 资助金额:
    $1.8万
  • 财政年份:
    1999
  • 负责人:
    Stephen Wiggins
  • 依托单位:
Theoretical Chemistry, Dynamical Systems, and the Geometry of Global Phase Space Dynamics
  • 批准号:
    9704759
  • 项目类别:
    Standard Grant
  • 资助金额:
    $19.5万
  • 财政年份:
    1997
  • 负责人:
    Stephen Wiggins
  • 依托单位:
Mathematical Sciences: Global Dynamics and Geometry in High Dimensional Nonlinear Dynamical Systems
  • 批准号:
    9403691
  • 项目类别:
    Continuing Grant
  • 资助金额:
    $5.0万
  • 财政年份:
    1994
  • 负责人:
    Stephen Wiggins
  • 依托单位:
海外基金