Physics – Computational Physics
Scientific paper
2005-05-24
JOURNAL OF CHEMICAL PHYSICS 121, 5076 (2004)
Physics
Computational Physics
12 preprint pages
Scientific paper
10.1063/1.1782072
Effective interaction operators usually act on a restricted model space and give the same energies (for Hamiltonian) and matrix elements (for transition operators etc.) as those of the original operators between the corresponding true eigenstates. Various types of effective operators are possible. Those well defined effective operators have been shown being related to each other by similarity transformation. Some of the effective operators have been shown to have connected-diagram expansions. It is shown in this paper that under a class of very general similarity transformations, the connectivity is conserved. The similarity transformation between hermitian and non-hermitian Rayleigh-Schr\"{o}dinger perturbative effective operators is one of such transformation and hence the connectivity can be deducted from each other.
Dong hui-Ning
Duan Chang-Kui
Gong Yun-gui
Reid Michael F.
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