Correlated holes and their relationships with reduced density matrices and cumulants

This paper describes a matrix formulation for the correlated hole theory within the framework of the domain-averaged model in many electron systems (atoms, molecules, condensed matter, etc.). General relationships between this quantity and one-particle reduced density matrices for any independent pa...

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Detalles Bibliográficos
Autores: Bochicchio, R.C., Torre, A., Lain, L.
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2005
País:Argentina
Institución:Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
Repositorio:Biblioteca Digital (UBA-FCEN)
Idioma:inglés
OAI Identifier:paperaa:paper_00219606_v122_n8_p_Bochicchio
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00219606_v122_n8_p_Bochicchio
Access Level:acceso abierto
Palabra clave:Condensed matter
Cumulants
Molecular systems
Quantum fields
Computational methods
Correlation methods
Electrons
Functions
Mathematical models
Matrix algebra
Quantum theory
Molecular physics
Descripción
Sumario:This paper describes a matrix formulation for the correlated hole theory within the framework of the domain-averaged model in many electron systems (atoms, molecules, condensed matter, etc.). General relationships between this quantity and one-particle reduced density matrices for any independent particle or correlated state functions are presented. This formulation turns out to be suitable for computational purposes due to the straightforward introduction of cumulants of two-particle reduced density matrices within the quantum field structure. Numerical calculations in selected simple molecular systems have been performed in order to determine preliminary correlated values for such a quantity.