Abstract
The order-by-order perturbation expansion of the effective Hamiltonian for a multireference space is presented. The concept of the general model space (complete or incomplete) of Hose and Kaldor is used as well as their concept of a graphical representation of the perturbation expansion. The obtained result differs, however, from that of Hose and Kaldor. In the Hose and Kaldor derivation many types of disconnected diagrams of the effective Hamiltonian are declared reducible and omitted by in fact they do not completely cancel and these give an irreducible contribution to the effective Hamiltonian maxtrix causing the method to not be fully extensive. To ensure that all terms are included, we present modified diagram rules for the effective Hamiltonian.
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