标题： 极化相互作用的多极展开的收敛性 显示英文标题

标题： Convergence of the multipole expansion of the polarization interaction

摘要： 带电粒子与电荷粒子之间的极化相互作用的多极展开长期以来已知是渐近性质的，即 在原子任何有限距离处，多重展开都会发散。 然而，显示了受限氢原子的极化势的多极展开在原子限制半径以外的距离上是绝对收敛的。 如果两个原子的核间距离足够大以排除两个原子电子电荷云之间的重叠，那么两个受限原子的色散相互作用的多极展开也很可能是绝对收敛的。 显示英文摘要

摘要： The multipole expansion of the polarization interaction between a charged particle and an electrically charged particle has long been known to be asymptotic in nature, i.e. the multiple expansion diverges at any finite distance from the atom. However, it is shown that the multipole expansion of the polarization potential of a confined hydrogen atom is absolutely convergent at a distance outside the atoms confinement radius. It is likely that the multipole expansion of the dispersion interaction of two confined atoms will also be absolutely convergent provided the internuclear separation of the two atoms is sufficiency large to exclude any overlap between the electron charge clouds of the two atoms.