RUI: High Precision Variational Calculations on the Li I Isoelectronic Series (Physics)

其目的是进行高精度的计算， Z 10的Li等电子系列。一些数量 包括能级，质量位移， 跃迁同位素位移，超精细耦合常数，电子 核密度和相对论贡献。在 特别是，非相对论性的高精度下界 将计算Li原子的基态能量。 这应该 解决文献中关于精确的 Li的基态能量在1微哈特里的位置 精度等级（.00003 eV）。 下限还将提供 的收敛速度的宝贵资料， 使用变分法。最后，间接确定 对于Li I系列的特定状态的兰姆位移将是 贯彻 选定光谱跃迁的兰姆位移将 也被评价。

The purpose is to carry out high precision calculations on the Li isoelectronic series for Z 10. A number of quantities will be calculated including the energy levels, mass shift, transition isotope shift, hyperfine coupling constant, electron density at the nucleus and relativistic contributions. In particular, a high precision lower bound for the nonrelativistic ground state energy of the Li atom will be computed. This should resolve an issue in the literature concerning the precise location of the ground state energy of Li to a 1 microhartree level of accuracy (.00003 eV). The lower bound will also provide valuable information on the rate of convergence of the variational approach used. Finally, an indirect determination of the Lamb shifts for particular states of the Li I series will be carried out. Lamb shifts for selected spectral transitions will also be evaluated.