RUI: Indirect Calculation of Lamb Shifts in Three-Electron Atoms (Physics)

提出的研究目标是：(i)获得Li i的非相对论基态能量的极其精确的值；（ii）计算Li I基态能量的相对论性贡献；（iii）结合(i)和（ii）的结果得到Li i的绝对基态Lamb位移；（iv）计算Li I等电子系列的其他成员，以确定基态Lamb位移的z依赖行为；(v)将研究扩展到激发态，以确定兰姆位移对各种光谱跃迁的贡献。拟议的研究将涉及本科生的所有部分的工作，除了一个。这些学生将接触到化学、物理、计算机科学和数学四个领域的思想。这些学生所掌握的技能，如实用的计算机编程、数值分析、优化理论以及解决研究问题的一般机制，为研究生学习提供了重要的资产。

The objectives of the proposed research are (i) to obtain an extremely accurate value for the non-relativistic ground-state energy of Li I; (ii) to calculate the relativistic contributions to the ground state energy of Li I; (iii) to combine the results of (i) and (ii) to obtain the absolute ground state Lamb shift for Li I; (iv) to calculate other members of the Li I isoelectronic series to determine the Z-dependent behavior of the ground state Lamb shift; and (v) to extend the study to excited states so as to determine the Lamb shift contribution to various spectral transitions. The proposed research will involve undergraduates in all sections of the work except one. These students will be exposed to ideas from the four areas of chemistry, physics, computer science, and mathematics. The skills these students pick up, such as practical computer programming, numerical analysis, optimization theory, and the general mechanics of attacking and solving a research problem, provide an important asset for postgraduate studies.