Self-consistent pseudopotentials in the thermodynamic limit. II. The state-dependent one-body field

We explore the concept of the pseudopotential, introduced in a previous paper, within the context of the exact boundary condition for a system of fermions interacting through a pair-wise, hard-core potential, in the thermodynamic limit. We discuss several Ansätze for the Lagrange multipliers that al...

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Autores principales: Hernández, E.S., Plastino, A., Szybisz, L.
Formato: JOUR
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_05562813_v22_n1_p299_Hernandez
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling todo:paper_05562813_v22_n1_p299_Hernandez2023-10-03T15:34:29Z Self-consistent pseudopotentials in the thermodynamic limit. II. The state-dependent one-body field Hernández, E.S. Plastino, A. Szybisz, L. We explore the concept of the pseudopotential, introduced in a previous paper, within the context of the exact boundary condition for a system of fermions interacting through a pair-wise, hard-core potential, in the thermodynamic limit. We discuss several Ansätze for the Lagrange multipliers that allow the inclusion of the boundary conditions into the variational principle. It is found that under a given Ansatz, a dynamical, microscopic interpretation of the pseudopotential can be put forward. A comparison between this situation and the coherent approximation induced by the use of the correlation function is also presented. NUCLEAR STRUCTURE Hard-core interactions, boundary condition, variational principle constrained Hartree-Fock problem; Ansatz, structure of the pseudopotential, state dependence. © 1980 The American Physical Society. Fil:Hernández, E.S. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Szybisz, L. 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_05562813_v22_n1_p299_Hernandez
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description We explore the concept of the pseudopotential, introduced in a previous paper, within the context of the exact boundary condition for a system of fermions interacting through a pair-wise, hard-core potential, in the thermodynamic limit. We discuss several Ansätze for the Lagrange multipliers that allow the inclusion of the boundary conditions into the variational principle. It is found that under a given Ansatz, a dynamical, microscopic interpretation of the pseudopotential can be put forward. A comparison between this situation and the coherent approximation induced by the use of the correlation function is also presented. NUCLEAR STRUCTURE Hard-core interactions, boundary condition, variational principle constrained Hartree-Fock problem; Ansatz, structure of the pseudopotential, state dependence. © 1980 The American Physical Society.
format JOUR
author Hernández, E.S.
Plastino, A.
Szybisz, L.
spellingShingle Hernández, E.S.
Plastino, A.
Szybisz, L.
Self-consistent pseudopotentials in the thermodynamic limit. II. The state-dependent one-body field
author_facet Hernández, E.S.
Plastino, A.
Szybisz, L.
author_sort Hernández, E.S.
title Self-consistent pseudopotentials in the thermodynamic limit. II. The state-dependent one-body field
title_short Self-consistent pseudopotentials in the thermodynamic limit. II. The state-dependent one-body field
title_full Self-consistent pseudopotentials in the thermodynamic limit. II. The state-dependent one-body field
title_fullStr Self-consistent pseudopotentials in the thermodynamic limit. II. The state-dependent one-body field
title_full_unstemmed Self-consistent pseudopotentials in the thermodynamic limit. II. The state-dependent one-body field
title_sort self-consistent pseudopotentials in the thermodynamic limit. ii. the state-dependent one-body field
url http://hdl.handle.net/20.500.12110/paper_05562813_v22_n1_p299_Hernandez
work_keys_str_mv AT hernandezes selfconsistentpseudopotentialsinthethermodynamiclimitiithestatedependentonebodyfield
AT plastinoa selfconsistentpseudopotentialsinthethermodynamiclimitiithestatedependentonebodyfield
AT szybiszl selfconsistentpseudopotentialsinthethermodynamiclimitiithestatedependentonebodyfield
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