Hartree-Fock states in the thermodynamic limit. II. Generalized Overhauser orbitals
Autor(a) principal: | |
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Data de Publicação: | 1977 |
Outros Autores: | , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1103/PhysRevA.15.1256 http://hdl.handle.net/11449/231090 |
Resumo: | Two infinite families of two-parameter generalized Overhauser orbitals are introduced and shown to satisfy explicitly, for occupied states, the self-consistent Hartree-Fock equations in the thermodynamic limit. For an attractive δ interaction, they give lower Hartree-Fock energy than the usual plane-wave solutions, even for relatively weak coupling and/or low density. The limiting members (possessing an infinite number of harmonics) of both families appear to tend to a classical static lattice state, via a second-order transition for one family and via first order for the other. The related density profiles and energy expressions are calculated as functions of the two new parameters. A direct variation with respect to these parameters was done numerically and results are presented graphically. © 1977 The American Physical Society. |
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Repositório Institucional da UNESP |
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2946 |
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Hartree-Fock states in the thermodynamic limit. II. Generalized Overhauser orbitalsTwo infinite families of two-parameter generalized Overhauser orbitals are introduced and shown to satisfy explicitly, for occupied states, the self-consistent Hartree-Fock equations in the thermodynamic limit. For an attractive δ interaction, they give lower Hartree-Fock energy than the usual plane-wave solutions, even for relatively weak coupling and/or low density. The limiting members (possessing an infinite number of harmonics) of both families appear to tend to a classical static lattice state, via a second-order transition for one family and via first order for the other. The related density profiles and energy expressions are calculated as functions of the two new parameters. A direct variation with respect to these parameters was done numerically and results are presented graphically. © 1977 The American Physical Society.Instituto de Física Teórica, Sao PauloDepartmento de Física, Universidade Nacional, La Plata and ConicetInstituto de Física, Universidad de México, Instituto Nacional de Energia NuclearInstituto de Física TeóricaInstituto de Física, Universidad de México, Instituto Nacional de Energia NuclearAguilera-Navarro, V. C.De Llano, M.Peltier, S.Plastino, A.2022-04-29T08:43:29Z2022-04-29T08:43:29Z1977-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article1256-1262http://dx.doi.org/10.1103/PhysRevA.15.1256Physical Review A, v. 15, n. 3, p. 1256-1262, 1977.1050-2947http://hdl.handle.net/11449/23109010.1103/PhysRevA.15.12562-s2.0-4243521574Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengPhysical Review Ainfo:eu-repo/semantics/openAccess2022-04-29T08:43:29Zoai:repositorio.unesp.br:11449/231090Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T17:53:31.138426Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Hartree-Fock states in the thermodynamic limit. II. Generalized Overhauser orbitals |
title |
Hartree-Fock states in the thermodynamic limit. II. Generalized Overhauser orbitals |
spellingShingle |
Hartree-Fock states in the thermodynamic limit. II. Generalized Overhauser orbitals Aguilera-Navarro, V. C. |
title_short |
Hartree-Fock states in the thermodynamic limit. II. Generalized Overhauser orbitals |
title_full |
Hartree-Fock states in the thermodynamic limit. II. Generalized Overhauser orbitals |
title_fullStr |
Hartree-Fock states in the thermodynamic limit. II. Generalized Overhauser orbitals |
title_full_unstemmed |
Hartree-Fock states in the thermodynamic limit. II. Generalized Overhauser orbitals |
title_sort |
Hartree-Fock states in the thermodynamic limit. II. Generalized Overhauser orbitals |
author |
Aguilera-Navarro, V. C. |
author_facet |
Aguilera-Navarro, V. C. De Llano, M. Peltier, S. Plastino, A. |
author_role |
author |
author2 |
De Llano, M. Peltier, S. Plastino, A. |
author2_role |
author author author |
dc.contributor.none.fl_str_mv |
Instituto de Física Teórica Instituto de Física, Universidad de México, Instituto Nacional de Energia Nuclear |
dc.contributor.author.fl_str_mv |
Aguilera-Navarro, V. C. De Llano, M. Peltier, S. Plastino, A. |
description |
Two infinite families of two-parameter generalized Overhauser orbitals are introduced and shown to satisfy explicitly, for occupied states, the self-consistent Hartree-Fock equations in the thermodynamic limit. For an attractive δ interaction, they give lower Hartree-Fock energy than the usual plane-wave solutions, even for relatively weak coupling and/or low density. The limiting members (possessing an infinite number of harmonics) of both families appear to tend to a classical static lattice state, via a second-order transition for one family and via first order for the other. The related density profiles and energy expressions are calculated as functions of the two new parameters. A direct variation with respect to these parameters was done numerically and results are presented graphically. © 1977 The American Physical Society. |
publishDate |
1977 |
dc.date.none.fl_str_mv |
1977-01-01 2022-04-29T08:43:29Z 2022-04-29T08:43:29Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://dx.doi.org/10.1103/PhysRevA.15.1256 Physical Review A, v. 15, n. 3, p. 1256-1262, 1977. 1050-2947 http://hdl.handle.net/11449/231090 10.1103/PhysRevA.15.1256 2-s2.0-4243521574 |
url |
http://dx.doi.org/10.1103/PhysRevA.15.1256 http://hdl.handle.net/11449/231090 |
identifier_str_mv |
Physical Review A, v. 15, n. 3, p. 1256-1262, 1977. 1050-2947 10.1103/PhysRevA.15.1256 2-s2.0-4243521574 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Physical Review A |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
1256-1262 |
dc.source.none.fl_str_mv |
Scopus reponame:Repositório Institucional da UNESP instname:Universidade Estadual Paulista (UNESP) instacron:UNESP |
instname_str |
Universidade Estadual Paulista (UNESP) |
instacron_str |
UNESP |
institution |
UNESP |
reponame_str |
Repositório Institucional da UNESP |
collection |
Repositório Institucional da UNESP |
repository.name.fl_str_mv |
Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP) |
repository.mail.fl_str_mv |
|
_version_ |
1808128873042280448 |