Abstract
Local permutational symmetries are shown to supply approximate quantum numbers for a system composed of approximately localized subsystems. Local permutational symmetries associated with simple valence-bond wavefunctions in the separated-atom limit are studied and in certain cases are found to yield a nonphysical combination of local permutational symmetries. This nonphysical behavior can be avoided by use of a certain suitable form of configuration interaction or by a projection with either an appropriate chemically canonical matric basis element or a generalized structure projector.
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