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Mathematical Sciences: Spectral and Symptotic Problems of Mathematical Physics

Mathematical Sciences: Spectral and Symptotic Problems of Mathematical Physics
数学科学:数学物理的谱和症状问题
批准号:
9211624
负责人:
Evans Harrell
金额:
$7.5万
依托单位国家:
美国
项目类别:
Standard Grant
财政年份:
1992
资助国家:
美国
项目状态:
已结题
起止时间:
1992-07-01 至 1996-12-31

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中文摘要
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英文摘要
Harrell will work on the tunneling effect of quantum mechanics and on intermittency in equations such as those arising in laser physics. Other problems involve the interplay between geometry and analysis, and with attempts to understand nonlinear phenomena. Spectral theory is central to many physical problems; for example energy levels in quantum mechanics are determined as eigenvalues of certain linear operators. However, singular operators or limits lying outside the scope of well-established theories often arise in applications, and motivate much of this project. Modern physics, quantum mechanics and relativity, is a product of the twentieth century. It is founded firmly in the last century's attempt to address the microstructure of matter and to come to grips with the concepts of action-at-a distance, electro-magnetism, and heat radiation. The mathematical foundations for these developments, collectively called mathematical physics, ranges from detailed analysis of Schroedinger operators, which governs the dynamics of particles, to unified field theory, which attempts to unite the four known forces into a single theory.
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Travel to the XIXth International Congress on Mathematical Physics, July 23--28, 2018, Montreal, Canada, and to Related Events
  • 批准号:
    1800629
  • 项目类别:
    Standard Grant
  • 资助金额:
    $3.7万
  • 财政年份:
    2018
  • 负责人:
    Evans Harrell
  • 依托单位:
Conference on Mathematical Results in Quantum Physics; October 8-11, 2016, Georgia Institute of Technology
  • 批准号:
    1643086
  • 项目类别:
    Standard Grant
  • 资助金额:
    $4.5万
  • 财政年份:
    2016
  • 负责人:
    Evans Harrell
  • 依托单位:
Spectra, Geometry, and Asymptotics of Some Differential Equations of Mathematical Physics
  • 批准号:
    0204059
  • 项目类别:
    Standard Grant
  • 资助金额:
    $7.5万
  • 财政年份:
    2002
  • 负责人:
    Evans Harrell
  • 依托单位:
Block Travel Grant for 1997 Congress of the IAMP and Development of New Scientific Collaboration in the Asian- Pacific Region; July, 13-19, 1997; Brisbane, Australia
  • 批准号:
    9706755
  • 项目类别:
    Standard Grant
  • 资助金额:
    $5.04万
  • 财政年份:
    1997
  • 负责人:
    Evans Harrell
  • 依托单位:
国内基金
海外基金
Handbook of the Mathematics of the Arts and Sciences的中文翻译
  • 批准号:
    12226504
  • 项目类别:
    数学天元基金项目
  • 资助金额:
    20.0万元
  • 批准年份:
    2022
  • 负责人:
    黄朝凌
  • 依托单位:
SCIENCE CHINA: Earth Sciences
Journal of Environmental Sciences
SCIENCE CHINA Information Sciences