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

✍ Scribed by Debashis Mukherjee

Publisher: Elsevier Science
Year: 1986
Tongue: English
Weight: 666 KB
Volume: 125
Category: Article
ISSN: 0009-2614
DOI: 10.1016/0009-2614(86)87050-6

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✦ Synopsis

The linked-cluster theorem (LCT) holds good in open-shell coupled-cluster theory Car incomplete model spaces provided the intermediate normalization condition (IN) for the eigenfunctions is abandoned. The crucial requirement for proving the LCT is the valence u~vers~ty of the wave operator 52. Thus f2 contains not only m-valence operators 3""' for an m-valence problem but also all the lower-vatence s(*) operators to correlate k < m valence problems. LCT is proved using a particular scheme for choosing the s(') operators for which IN does not hold good.

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