Conservation of connectivity of model-space effective interactions under a class of similarity transformation

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dc.creatorDuan, Chang-Kui
dc.creatorGong, Yungui
dc.creatorDong, Hui-Ning
dc.creatorReid, Michael F.
dc.date2005-05-24
dc.date.accessioned2026-07-07T05:54:54Z
dc.date.available2026-07-07T05:54:54Z
dc.descriptionEffective 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-Schrödinger perturbative effective operators is one of such transformation and hence the connectivity can be deducted from each other.
dc.description12 preprint pages
dc.identifierhttps://arxiv.org/abs/physics/0505163
dc.identifierhttp://arxiv.org/abs/physics/0505163
dc.identifierJOURNAL OF CHEMICAL PHYSICS 121, 5076 (2004)
dc.identifierdoi:10.1063/1.1782072
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/87130
dc.subjectComputational Physics
dc.subjectAtomic Physics
dc.titleConservation of connectivity of model-space effective interactions under a class of similarity transformation
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