关于推广的组态混合法(Ⅰ)

本文提出了一个借助无规位相近似法的解,应用推广的组态混合法以求得更精确解的方法,导出了有关矩阵元的一组明显表达式。此外并证明了推广的组态混合法是自洽的,给出了有关的格林函数所满足的运动方程及展开式,根据后者对推广的组态混合法的解的性质进行了讨论。

ON THE GENERALIZED CONFIGURATION MIXING METHOD (Ⅰ)

It is shown that by means of the solutions obtained by the random phase approximation, the generalized configuration mixing (GCM) method can provide better approximate solutions in a rather simple and systematic way. A set of explicit expressions for the matrixelements involved in the eigenvalue equation of the GCM method has been derived. Further, it is proved that the GCM method is self-consistent, and the equation of motion satisfied by the corresponding Green function and its series expansion have been obtained. By means of the latter, the property of the eigensolution determined by the GCM method is discussed.