Finite expansion of the inverse matrix in the polarization propagator method

An alternative theoretical approach to the polarization propagator based on a new finite expansion of a finite-dimensional matrix is presented. The general equations for such an expansion are derived and the validity conditions stated. This method is used to accomplish an approximate scheme for the...

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Autor principal: Cavasotto, C.N.
Formato: JOUR
Materias:
Inverse matrix
Particle-hole propagator
Polarization propagator
Self-energy
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_1432881X_v104_n6_p491_Cavasotto
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling todo:paper_1432881X_v104_n6_p491_Cavasotto2023-10-03T16:14:01Z Finite expansion of the inverse matrix in the polarization propagator method Cavasotto, C.N. Inverse matrix Particle-hole propagator Polarization propagator Self-energy An alternative theoretical approach to the polarization propagator based on a new finite expansion of a finite-dimensional matrix is presented. The general equations for such an expansion are derived and the validity conditions stated. This method is used to accomplish an approximate scheme for the self-energy of the particle-hole propagator within the superoperator formalism. Within this scheme each contribution includes corrections to infinite order in electronic interaction and so describes collective effects in a natural way. Individual contributions can be interpreted as describing the propagation of the interaction through a particular subset of electronic excitations. Comparison with other known approximation levels, such as the random-phase approximation, is also analyzed. Fil:Cavasotto, C.N. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_1432881X_v104_n6_p491_Cavasotto
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Inverse matrix
Particle-hole propagator
Polarization propagator
Self-energy
spellingShingle Inverse matrix
Particle-hole propagator
Polarization propagator
Self-energy
Cavasotto, C.N.
Finite expansion of the inverse matrix in the polarization propagator method
topic_facet Inverse matrix
Particle-hole propagator
Polarization propagator
Self-energy
description An alternative theoretical approach to the polarization propagator based on a new finite expansion of a finite-dimensional matrix is presented. The general equations for such an expansion are derived and the validity conditions stated. This method is used to accomplish an approximate scheme for the self-energy of the particle-hole propagator within the superoperator formalism. Within this scheme each contribution includes corrections to infinite order in electronic interaction and so describes collective effects in a natural way. Individual contributions can be interpreted as describing the propagation of the interaction through a particular subset of electronic excitations. Comparison with other known approximation levels, such as the random-phase approximation, is also analyzed.
format JOUR
author Cavasotto, C.N.
author_facet Cavasotto, C.N.
author_sort Cavasotto, C.N.
title Finite expansion of the inverse matrix in the polarization propagator method
title_short Finite expansion of the inverse matrix in the polarization propagator method
title_full Finite expansion of the inverse matrix in the polarization propagator method
title_fullStr Finite expansion of the inverse matrix in the polarization propagator method
title_full_unstemmed Finite expansion of the inverse matrix in the polarization propagator method
title_sort finite expansion of the inverse matrix in the polarization propagator method
url http://hdl.handle.net/20.500.12110/paper_1432881X_v104_n6_p491_Cavasotto
work_keys_str_mv AT cavasottocn finiteexpansionoftheinversematrixinthepolarizationpropagatormethod
_version_ 1807314909101293568

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