Solution of the pair equation using a finite discrete spectrum.
Solution of the pair equation using a finite discrete spectrum.
复制标题
使用有限离散谱求解配对方程。
DOI：
--
复制
发表时间：
1989
期刊：
影响因子：
--
通讯作者：
Öster
中科院分区：
文献类型：
--
作者：
Salomonson;Öster
本文提出了一种在有限完备基组上求和的对方程的求解方法。基组是通过对角化离散厄米单粒子哈密顿量。求解径向对方程所需的运算次数与{ital N}{sup 3}成比例，其中{ital N}是所使用的径向晶格点的数量。应用到基态氦，估计总能量的精度为几个部分在10{sup 8}，提出。该方法同样适用于研究多电子原子中的对关联。
A method for the solution of the pair equation, by summation over a complete and finite basis set, is presented. The basis set is obtained by diagonalization of a discretized Hermitian one-particle Hamiltonian. The number of operations required to solve the radial pair equation is proportional to {ital N}{sup 3} where {ital N} is the number of radial lattice points used. An application to the ground state of helium, evaluating the total energy to an accuracy of a few parts in 10{sup 8}, is presented. The method is equally well applicable to the study of pair correlation in many-electron atoms.