【摘要】 对中心势场的对数微扰论方法作了进一步探讨．在ｌ ＝ ０ 情形，对各阶微扰势的相应微扰展开作出了统一描述．给出了基态、低激发态的能量、波函数以及激发态波函数节点位置的修正．结果表明，对于低激发态情形，振幅函数 Ａ（ ｉ）（ｒ） 采用关于节点α０ｉ 邻域的（αｉ － α０ｉ） 幂次形成泰勒展开方案，使微扰计算比通常的微扰处理简单．更多还原

【Abstract】 In this paper,the logarithmic perturbation scheme for the central potential field is investigated. For the l =0, a unified description for the perturbation expansion corresponding to the arbitrary order of perturbation potential is obtained. The corrections of the energy and the wave function for the ground state and the low lying excited states, and the positions of nodal points are given respectively. It is obvious that, for the low lying excited states, Taylor’s expansion in powers of (α i -α 0 i ) about each nodal point in α 0 i for the amplitude function A (i) (r ) makes the perturbation calculation be simpler than the ordinary perturbation method.更多还原