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Eigenfunction asymptotics on Riemannian manifolds

Eigenfunction asymptotics on Riemannian manifolds
黎曼流形上的本征函数渐近
批准号:
170280-2010
负责人:
Toth, John
金额:
$2.19万
依托单位:
依托单位国家:
加拿大
项目类别:
Discovery Grants Program - Individual
财政年份:
2011
资助国家:
加拿大
项目状态:
已结题
起止时间:
2011-01-01 至 2012-12-31

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英文摘要
The Bohr correspondence principle in quantum mechanics asserts that quantum mechanical systems "approach" the associated classical dynamical systems in the semiclassical (ie. high-energy) limit. Over the past decade, there has been a great deal of interest amongst mathematicians, physicists and quantum chemists in quantifying this correspondence in a mathematically precise way. My research proposal is largely devoted to studying this important and fundamental issue using the methods of semiclassical microlocal analysis, where the main problem is to understand the precise concentration properties of the eigenfunctions (ie. wave
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Eigenfunction Asymptotics and Quantum Chaos
  • 批准号:
    RGPIN-2020-04700
  • 项目类别:
    Discovery Grants Program - Individual
  • 资助金额:
    $1.97万
  • 财政年份:
    2022
  • 负责人:
    Toth, John
  • 依托单位:
Eigenfunction Asymptotics and Quantum Chaos
  • 批准号:
    RGPIN-2020-04700
  • 项目类别:
    Discovery Grants Program - Individual
  • 资助金额:
    $1.97万
  • 财政年份:
    2021
  • 负责人:
    Toth, John
  • 依托单位:
Eigenfunction Asymptotics and Quantum Chaos
  • 批准号:
    RGPIN-2020-04700
  • 项目类别:
    Discovery Grants Program - Individual
  • 资助金额:
    $1.97万
  • 财政年份:
    2020
  • 负责人:
    Toth, John
  • 依托单位:
Eigenfunction asymptotics and quantum chaos
  • 批准号:
    RGPIN-2015-04979
  • 项目类别:
    Discovery Grants Program - Individual
  • 资助金额:
    $2.26万
  • 财政年份:
    2019
  • 负责人:
    Toth, John
  • 依托单位:
海外基金