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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1980
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paper:paper_05562813_v22_n1_p299_Hernandez2023-06-08T15:41:26Z Self-consistent pseudopotentials in the thermodynamic limit. II. The state-dependent one-body field Hernández, Ester Susana Szybisz, Leszek 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. 1980 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_05562813_v22_n1_p299_Hernandez 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. |
author |
Hernández, Ester Susana Szybisz, Leszek |
spellingShingle |
Hernández, Ester Susana Szybisz, Leszek Self-consistent pseudopotentials in the thermodynamic limit. II. The state-dependent one-body field |
author_facet |
Hernández, Ester Susana Szybisz, Leszek |
author_sort |
Hernández, Ester Susana |
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 |
publishDate |
1980 |
url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_05562813_v22_n1_p299_Hernandez http://hdl.handle.net/20.500.12110/paper_05562813_v22_n1_p299_Hernandez |
work_keys_str_mv |
AT hernandezestersusana selfconsistentpseudopotentialsinthethermodynamiclimitiithestatedependentonebodyfield AT szybiszleszek selfconsistentpseudopotentialsinthethermodynamiclimitiithestatedependentonebodyfield |
_version_ |
1768543088178888704 |