The linked-cluster theorem in the open-shell coupled-cluster theory for incomplete model spaces期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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The linked-cluster theorem in the open-shell coupled-cluster theory for incomplete model spaces

Institution:	1. Department of Economics, University of Lisbon, Rua Miguel Lupi, 20, 1249-078 Lisbon, Portugal;2. COPPEAD Graduate Business School, Federal University of Rio de Janeiro, Brazil;3. Department of Transport Management, Federal University of Technology, Minna, Niger State, Nigeria;4. Bangladesh Army International University of Science and Technology, Bangladesh;1. Department of Microbiology, Faculty of Science, Federal University, Birnin Kebbi P.M.B. 1157 Kalgo Road, Birnin Kebbi, Kebbi State, Nigeria;2. Immunization, Vaccines and Emergencies, World Health Organization, Kebbi State Field Office, Nigeria;3. Department of Demography and Social Statistics, Faculty of Art, Social and Management Sciences, Federal University, Birnin Kebbi P.M.B. 1157 Kalgo Road, Birnin Kebbi, Kebbi State, Nigeria;1. Department of Chemistry, Lomonosov Moscow State University, Leninskiye Gory 1-3, Moscow 119991, Russian Federation;2. Department of Mechanics and Mathematics, Lomonosov Moscow State University, Leninskiye Gory 1-1, 119991 Moscow, Russian Federation;3. Gubkin Russian State University of Oil and Gas, Leninsky Prospekt 65, 119991 Moscow, Russian Federation

Abstract:	The linked-cluster theorem (LCT) holds good in open-shell coupled-cluster theory for incomplete model spaces provided the intermediate normalization condition (IN) for the eigenfunctions is abandoned. The crucial requirement for proving the LCT is the valence universality of the wave operator Ω. Thus Ω contains not only m-valence operators S̃^(m) for an m-valence problem but also all the lower-valence S̃S^(k) operators to correlate k <m valence problems. LCT is proved using a particular scheme for choosing the S̃S^(k) operators for which IN does not hold good.

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