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Graphical and color-pairing symmetries

✍ Scribed by D. J. Klein; T. P. Živković

Publisher
John Wiley and Sons
Year
1990
Tongue
English
Weight
620 KB
Volume
37
Category
Article
ISSN
0020-7608

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✦ Synopsis

Abstract

Symmetries are considered for a class of Hamiltonian models with one (spin‐free) orbital per site. The models include common types of Parisier‐Parr‐Pople and valence‐bond Hamiltonians, defined over a continuous range of parametrizations. The symmetries investigated are linear canonical transformations and include the common point‐group and alternancy symmetries. We find “graphical” symmetries extending the usual point‐group symmetries and novel “color‐pairing” symmetries which involve hybrids of point‐group–like and alternancy symmetries of relevance for certain heteroatomic species. The occurence of recolorpairing transformations relating the eigensolutions of models for different molecules is also noted.

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