Article,

On the mutual exclusion of variationality and size consistency

, and .
Theoretical Chemistry Accounts, 133 (3): 1-9 (March 2014)
DOI: 10.1007/s00214-013-1440-y

Abstract

Why do variational electron-correlation methods such as truncated configuration-interaction methods tend to be non-size-consistent (non-size-extensive)? Why are size-consistent (size-extensive) methods such as Møller–Plesset perturbation and coupled-cluster methods non-variational? We conjecture that the variational and size-consistent properties are mutually exclusive in an ab initio electron-correlation method (which thus excludes the Hartree–Fock and density-functional methods). We analyze some key examples that support the truth of this conjecture.

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