CORRELATION BETWEEN EIGENVALUES AND SORTED DIAGONAL MATRIX ELEMENTS OF A LARGE DIMENSIONAL MATRIX

摘要

Functional dependences of eigenvalues as functions of sorted diagonal elements are given !' for realistic nuclear shell model (NSM) hamiltonian, the uniform distribution hamilto-nian and the GOE hamiltonian. In the NSM case, the dependence is found to be linear We discuss extrapolation methods for more accurate predictions for low-lying states.