多电子原子势模型理论中矩阵元通式的一种新形式

A New General F ormula of Matrix Element in Theory for Potential Model of Maltiple-Electron Atom

从广义拉盖尔多项式的两种等价表示出发，运用逐次分部积分，给出了多电子原子势模型理论中幂坐标矩阵元的新通式．该通式比现有文献中的通式简洁、实用．本文述及的导出矩阵元通式的方法也可应用于其他量子体系．

Setting about two equivalent expressions of generalized Laguerre polynomials, a new general formula of matrix element, rk, in the theory for potential model of multiple-electron atom is derived by means of successive partial integration. This general formula is simpler and more practical than that given in current references. The way shown in this paper can also be applied to other quantum systems to carry out similar results.