平面反射对称操作对平均场Hamiltonian的约化

来源期刊：中南大学学报(自然科学版)1999年第6期

论文作者：罗文东 李训军

文章页码：645 - 648

关键词：核平均场;反射对称平面;时间反演对称;能量矩阵

Key words：nuclear mean field; reflection symmetrical planes; time reversal symmetry; energy matrix

摘    要：研究了原子核平均场中本征能量的求 解．当不存在任何几何对称性时，能量矩阵由2N×2N个复数矩阵元组成(N为基矢的大小)；如果空间存在1个反射对称平面，该2N×2N复矩阵可约化为1对互为共轭N×N复矩阵或1个2N×2N实矩阵；如果存在2个互相正交对称平面，则可约化为2个N×N实矩阵．

Abstract: The solutions to the eigen energy problem in nuclear mean field are investigated. If there is no geometry symmetries in the coordinate space, the energy matrix is composed of 2 N×2N complex matrix elements( N is the size of the basis employed). If there exists one reflection symmetrical plane, this 2N×2N complex matrix can be reduced to a pair of conjugate N×N complex matrices or one 2N×2N real matrix. And if there are two perpendicular reflection planes, it can be further reduced to two N×N real matrices.