碱金属原子多极极化率的解析计算及其应用

通过考虑碱金属原子中的价电子在模型势中的运动, 给出了碱金属原子激发态(包括分立谱和连续谱)的波函数, 导出了碱金属原子的多极动态极化率的计算式中所涉及的矩阵元的解析表达式, 实现了碱金属原子多极动态极化率的解析计算. 作为应用, 利用范德瓦尔斯相互作用系数与动态极化率之间的积分关系, 计算了异核基态碱金属原子间的三体相互作用系数, 将计算结果与此前用稳定变分方法得到的结果进行了比较, 结果显示两者是一致的. 此工作为后续研究激发态碱金属原子间的相互作用奠定了基础.

Analytical calculation of multipolar polarizabilities for the alkali-metal atoms and its application

By considering the movement of valence electrons of alkali metal atoms in a model potential, the radial wave functions of alkali metal atoms in excited states, including discrete spectrum and continuous spectrum, are provided. The matrix elements, involving in the multipolar polarizabilities of alkali- metal atoms, are derived analytically, the polarizabilities are then calculated directly. As an application, the three-body dispersion coefficients between heteronuclear alkali metal atoms in their ground states are calculated by using the integral relationship between the dispersion coefficients and dynamic polarizabilities. The results are compared with those calculated previously by variationally stable procedure. It is found that they are consistent with each other. This procedure can be extended to the excited states.