Atomic Many-Body Theory with Applications

该研究中心的下一代高精度方法的多体相对论理论的单价原子的发展。 本文提出了一种适用于多体微扰论各阶的新的部分求和格式。这种从头计算求和方案将提高最近导出和计算的1，648个四阶图计算的精度和收敛性。 第二，提出了将三价和断开的四价激发纳入耦合团簇方程体系中，发展多体形式体系的长期目标是提高原子宇称破坏振幅的计算精度。这些振幅对于揭示基本粒子标准模型之外可能的新物理学非常重要。 最后讨论了在超稳光钟设计中的应用。

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.