Quasispin dynamics beyond the Bloch sphere: Exact versus time-dependent Hartree-Fock evolution

We examine the complementary types of motion induced by the time-dependent mean field and the related residual interaction in the frame of quasispin systems. The time-dependent Hartree-Fock law of motion is used to generate an instantaneous basis, where the residual interaction induces transitions t...

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Autores principales: Solari, Hernán Gustavo, Hernández, Ester Susana
Publicado: 1982
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_05562813_v26_n5_p2310_Solari
http://hdl.handle.net/20.500.12110/paper_05562813_v26_n5_p2310_Solari
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_05562813_v26_n5_p2310_Solari
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spelling paper:paper_05562813_v26_n5_p2310_Solari2023-06-08T15:41:28Z Quasispin dynamics beyond the Bloch sphere: Exact versus time-dependent Hartree-Fock evolution Solari, Hernán Gustavo Hernández, Ester Susana We examine the complementary types of motion induced by the time-dependent mean field and the related residual interaction in the frame of quasispin systems. The time-dependent Hartree-Fock law of motion is used to generate an instantaneous basis, where the residual interaction induces transitions that deviate the exact motion with respect to the simple Slater determinant evolution. Geometric images of both kinds of dynamics are given and definite time scales are extracted for the validity of the time-dependent Hartree-Fock description, its second order correction, and the building up of a noticeable relative polarization of the exact wave function. It is seen that in addition to the time-dependent Hartree-Fock motion over the Bloch sphere, the exact dynamics contains an "inwards" component as well as additional rotations. NUCLEAR STRUCTURE Time-dependent Hartree-Fock; moving basis; residual interaction; complementary motions; quasispin systems; Slater determinant; time scales; rotations and nonrotations on Bloch sphere; polarization. © 1982 The American Physical Society. Fil:Solari, H.G. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Hernandez, E.S. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 1982 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_05562813_v26_n5_p2310_Solari http://hdl.handle.net/20.500.12110/paper_05562813_v26_n5_p2310_Solari
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 examine the complementary types of motion induced by the time-dependent mean field and the related residual interaction in the frame of quasispin systems. The time-dependent Hartree-Fock law of motion is used to generate an instantaneous basis, where the residual interaction induces transitions that deviate the exact motion with respect to the simple Slater determinant evolution. Geometric images of both kinds of dynamics are given and definite time scales are extracted for the validity of the time-dependent Hartree-Fock description, its second order correction, and the building up of a noticeable relative polarization of the exact wave function. It is seen that in addition to the time-dependent Hartree-Fock motion over the Bloch sphere, the exact dynamics contains an "inwards" component as well as additional rotations. NUCLEAR STRUCTURE Time-dependent Hartree-Fock; moving basis; residual interaction; complementary motions; quasispin systems; Slater determinant; time scales; rotations and nonrotations on Bloch sphere; polarization. © 1982 The American Physical Society.
author Solari, Hernán Gustavo
Hernández, Ester Susana
spellingShingle Solari, Hernán Gustavo
Hernández, Ester Susana
Quasispin dynamics beyond the Bloch sphere: Exact versus time-dependent Hartree-Fock evolution
author_facet Solari, Hernán Gustavo
Hernández, Ester Susana
author_sort Solari, Hernán Gustavo
title Quasispin dynamics beyond the Bloch sphere: Exact versus time-dependent Hartree-Fock evolution
title_short Quasispin dynamics beyond the Bloch sphere: Exact versus time-dependent Hartree-Fock evolution
title_full Quasispin dynamics beyond the Bloch sphere: Exact versus time-dependent Hartree-Fock evolution
title_fullStr Quasispin dynamics beyond the Bloch sphere: Exact versus time-dependent Hartree-Fock evolution
title_full_unstemmed Quasispin dynamics beyond the Bloch sphere: Exact versus time-dependent Hartree-Fock evolution
title_sort quasispin dynamics beyond the bloch sphere: exact versus time-dependent hartree-fock evolution
publishDate 1982
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_05562813_v26_n5_p2310_Solari
http://hdl.handle.net/20.500.12110/paper_05562813_v26_n5_p2310_Solari
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AT hernandezestersusana quasispindynamicsbeyondtheblochsphereexactversustimedependenthartreefockevolution
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