An eclectic combination of cluster, perturbation, and linear expansions often provides the most compact mathematical descriptions of molecular electronic wave functions. A general theory is introduced to define a hierarchy of systematic electron-correlation approximations that use two or three of these expansion types. It encompasses coupled-cluster and equation-of-motion coupled-cluster methods and generates various perturbation corrections thereto, which, in some instances, reduce to the standard many-body perturbation methods. Some of these methods are also equipped with the ability to use basis functions of interelectronic distances via the so-called R12 and F12 schemes. Two computer algebraic techniques are devised to dramatically expedite implementation, verification, and validation of these complex electron-correlation methods. Numerical assessments support the unmatched utility of the proposed approximations for a range of molecular problems.
CITATION STYLE
Hirata, S., Shiozaki, T., Valeev, E. F., & Nooijen, M. (2010). Eclectic Electron-Correlation Methods. In Challenges and Advances in Computational Chemistry and Physics (Vol. 11, pp. 191–217). Springer. https://doi.org/10.1007/978-90-481-2885-3_8
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