Feynman path integral representation for many‐fermion interacting systems

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A many‐fermion interacting system is investigated within the scenario of the Feynman path integral representation of quantum mechanics. Short‐time propagator algorithms and a basis set, closely related to the coherent states, are used to obtain the many‐body analytic propagator. A second‐quantized H...

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Autores principales: Calamante, F., Bochicchio, R.C., Grinberg, H.
Formato: JOUR
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00207608_v49_n6_p789_Calamante
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_00207608_v49_n6_p789_Calamante
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spelling todo:paper_00207608_v49_n6_p789_Calamante2023-10-03T14:19:02Z Feynman path integral representation for many‐fermion interacting systems Calamante, F. Bochicchio, R.C. Grinberg, H. A many‐fermion interacting system is investigated within the scenario of the Feynman path integral representation of quantum mechanics. Short‐time propagator algorithms and a basis set, closely related to the coherent states, are used to obtain the many‐body analytic propagator. A second‐quantized Hamiltonian involving a restricted set of two‐body interactions and the whole set of Coulomb interactions are separately and shown to lead to an exact and an approximate propagator, respectively. In the latter case, use of a grand canonical ensemble allows the grand partition function and the density operator matrix to be readily obtained. No further approximations are required in the calculation of the trace of the evolution operator involved in the evaluation of statistical expectation values. © 1994 John Wiley & Sons, Inc. Copyright © 1994 John Wiley & Sons, Inc. Fil:Calamante, F. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Bochicchio, R.C. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Grinberg, H. 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_00207608_v49_n6_p789_Calamante
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description A many‐fermion interacting system is investigated within the scenario of the Feynman path integral representation of quantum mechanics. Short‐time propagator algorithms and a basis set, closely related to the coherent states, are used to obtain the many‐body analytic propagator. A second‐quantized Hamiltonian involving a restricted set of two‐body interactions and the whole set of Coulomb interactions are separately and shown to lead to an exact and an approximate propagator, respectively. In the latter case, use of a grand canonical ensemble allows the grand partition function and the density operator matrix to be readily obtained. No further approximations are required in the calculation of the trace of the evolution operator involved in the evaluation of statistical expectation values. © 1994 John Wiley & Sons, Inc. Copyright © 1994 John Wiley & Sons, Inc.
format JOUR
author Calamante, F.
Bochicchio, R.C.
Grinberg, H.
spellingShingle Calamante, F.
Bochicchio, R.C.
Grinberg, H.
Feynman path integral representation for many‐fermion interacting systems
author_facet Calamante, F.
Bochicchio, R.C.
Grinberg, H.
author_sort Calamante, F.
title Feynman path integral representation for many‐fermion interacting systems
title_short Feynman path integral representation for many‐fermion interacting systems
title_full Feynman path integral representation for many‐fermion interacting systems
title_fullStr Feynman path integral representation for many‐fermion interacting systems
title_full_unstemmed Feynman path integral representation for many‐fermion interacting systems
title_sort feynman path integral representation for many‐fermion interacting systems
url http://hdl.handle.net/20.500.12110/paper_00207608_v49_n6_p789_Calamante
work_keys_str_mv AT calamantef feynmanpathintegralrepresentationformanyfermioninteractingsystems
AT bochicchiorc feynmanpathintegralrepresentationformanyfermioninteractingsystems
AT grinbergh feynmanpathintegralrepresentationformanyfermioninteractingsystems
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