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, H.G., Hernandez, E.S.
Formato: JOUR
Acceso en línea: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
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spelling todo:paper_05562813_v26_n5_p2310_Solari2023-10-03T15:34:31Z Quasispin dynamics beyond the Bloch sphere: Exact versus time-dependent Hartree-Fock evolution Solari, H.G. Hernandez, E.S. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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.
format JOUR
author Solari, H.G.
Hernandez, E.S.
spellingShingle Solari, H.G.
Hernandez, E.S.
Quasispin dynamics beyond the Bloch sphere: Exact versus time-dependent Hartree-Fock evolution
author_facet Solari, H.G.
Hernandez, E.S.
author_sort Solari, H.G.
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
url http://hdl.handle.net/20.500.12110/paper_05562813_v26_n5_p2310_Solari
work_keys_str_mv AT solarihg quasispindynamicsbeyondtheblochsphereexactversustimedependenthartreefockevolution
AT hernandezes quasispindynamicsbeyondtheblochsphereexactversustimedependenthartreefockevolution
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