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The eigenvalue-independent partitioning technique in Fock space: An alternative route to open-shell coupled-cluster theory for incomplete model spaces

โœ Scribed by D. Sinha; S.K. Mukhopadhyay; R. Chaudhuri; D. Mukherjee


Publisher
Elsevier Science
Year
1989
Tongue
English
Weight
524 KB
Volume
154
Category
Article
ISSN
0009-2614

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โœฆ Synopsis


Our recent open-shell coupled-cluster (CC) theory for incomplete model spaces, having valence holes and valence particles, is cast in an alternative form having computational

advantages. An eigenvalue-independent partitioning technique in Fock space converts the CC equations for each m-hole, n-particle model space of dimension N 'WI' to a non-Hermitian eigenproblem of larger dimension, whose N (m."' roots are the energies of interest. This alternative strategy works even in the presence of intruders, as is demonstrated by applying it to the main and satellite peaks of the IP and Auger spectra of HF and to the excitation energies of N,.

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โœ Debashis Mukherjee ๐Ÿ“‚ Article ๐Ÿ“… 1986 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 666 KB

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