Hartree-Fock states in the thermodynamic limit. II. Generalized Overhauser orbitals

Detalhes bibliográficos
Autor(a) principal: Aguilera-Navarro, V. C.
Data de Publicação: 1977
Outros Autores: De Llano, M., Peltier, S., Plastino, A.
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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spelling 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
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