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The European Physical Journal A

New variational derivation of the coupled cluster expansion and its relation to green functions and diagrams

Abraham Klein, Tsutomu Une

Published Sep 1, 1985• 1 citation
Publisher
DOI
10.1007/bf01411985

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We present an extension of the analysis previously applied to the retarded part of the coupled cluster (CC) Green's function to its advanced part. In analogy to our earlier studies for the retarded part, we demonstrate that the advanced CC Green's function is expressed in terms of connected diagrams only, which is a direct consequence of algebraic form of equations satisfied by CC amplitudes. We also demonstrate that ω-derivatives of the advanced CC Green's function can be calculated analytically and can be expressed in terms of connected diagrams only. We analyse the structure of connected diagrams and the role of intermediate operators which satisfy electron affinity equation-of-motion CC-type conditions.