New method for calculating atomic and molecular resonances by partitioning technique

A new implementation of the complex coordinate method is presented. It is a combination of the stabilization method with the partitioning technique, supplemented with the idea of dilation-adapted basis sets. This method is designed to handle large scale calculations of many-electron resonant states, as to minimize the amount of complex arithmetics and in particular to avoid the diagonalization of the complex eigenvalue problem. Both a resonant eigenvalue and a corresponding eigenvector are obtained. An application to the lowest doubly excited autoionizing states of helium is presented.