Atomic Many-Body Theory with Applications

原子多体理论及其应用

• 批准号: 0354876
• 负责人: Andrei Derevianko
• 金额: $ 18万
• 依托单位: Board of Regents, NSHE, obo University of Nevada, Reno
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2004
• 资助国家: 美国
• 起止时间: 2004-09-01 至 2007-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0354876&HistoricalAwards=false
• 关键词: Atomic; Many; Body; Theory; Applications

The research centers on the development of next-generation high-precision methods of many-body relativistic theory for univalent atoms. A new partial summation scheme to all-orders of many-body perturbation theory will be implemented. This ab initio summation scheme will improve accuracy and convergence of a recently derived and computed 1,648 fourth-order diagram calculation. Second, an incorporation of valence triple and disconnected quadruple excitations into a hierarchy of coupled-cluster equations is proposed.The development of many-body formalisms has a long-term goal of improving accuracyof calculations of atomic parity-violating amplitudes. These amplitudes are important forrevealing possible new physics beyond the Standard Model of elementary particles. Applications to the design of ultrastable optical clocks is also discussed.

研究重点是发展新一代高精度的单价原子多体相对论理论方法。提出了一种新的多体微扰理论全阶部分求和格式。这种从头开始的求和方案将提高最近推导和计算的1648个四阶图计算的准确性和收敛性。其次，将价态三重激励和断开的四重激励合并到耦合簇方程的层次中。发展多体形式的长期目标是提高原子宇称违反振幅的计算精度。这些振幅对于揭示超出基本粒子标准模型的可能的新物理非常重要。讨论了该方法在超稳定光钟设计中的应用。