Variational localized-site cluster expansions. II. Trees and near trees

Cluster expanded wavefunctions involving localized‐site states and only pair excitations between nearest neighbor sites are considered. In the case that the bonds connecting these nearest neighbor sites form a tree graph (without rings), exact matrix element formulas are obtained in terms of the inv...

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Detalles Bibliográficos
Autores: Klein, D.J., García Bach, Ma. de los Ángeles
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:1976
País:España
Institución:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repositorio:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:2445/199749
Acceso en línea:https://hdl.handle.net/2445/199749
Access Level:acceso abierto
Palabra clave:Termodinàmica estadística
Teoria de grafs
Arbres
Statistical thermodynamics
Graph theory
Trees
Descripción
Sumario:Cluster expanded wavefunctions involving localized‐site states and only pair excitations between nearest neighbor sites are considered. In the case that the bonds connecting these nearest neighbor sites form a tree graph (without rings), exact matrix element formulas are obtained in terms of the inverse of a modified type of topological matrix associated with this tree graph. The treatment of some near‐tree cases, without any touching rings, is also discussed.