Symmetry-conserving variational dynamics: Application to quasispin systems

A time-dependent variational procedure is proposed that possesses the same constants of the motion as the exact many-body Schrödinger dynamics. The class of trial wave functions is larger than the manifold of Slater determinants that supports the time-dependent Hartree-Fock dynamics. These wave func...

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Autores principales: Solari, Hernán Gustavo, Hernández, Ester Susana
Publicado: 1983
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_05562813_v28_n6_p2472_Solari
http://hdl.handle.net/20.500.12110/paper_05562813_v28_n6_p2472_Solari
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_05562813_v28_n6_p2472_Solari
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spelling paper:paper_05562813_v28_n6_p2472_Solari2023-06-08T15:41:29Z Symmetry-conserving variational dynamics: Application to quasispin systems Solari, Hernán Gustavo Hernández, Ester Susana A time-dependent variational procedure is proposed that possesses the same constants of the motion as the exact many-body Schrödinger dynamics. The class of trial wave functions is larger than the manifold of Slater determinants that supports the time-dependent Hartree-Fock dynamics. These wave functions can be regarded as superpositions of the eigenfunctions of the conserved observable of interest and the variational equations display the usual parametric structure, with properly admixed energy gradients and the symplectic metric tensor. In an application to the Lipkin-Meshkov-Glick model, significant improvements over the usual mean-field or determinantal dynamics can be achieved. NUCLEAR STRUCTURE Mean field symmetry breaking; symmetry restoration; nondeterminantal wave function; time-dependent variational principle; parametric equations of motion; mean energy metric tensor; canonical coordinates; quasispin models; comparison with time-dependent Hartree-Fock dynamics. © 1983 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. 1983 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_05562813_v28_n6_p2472_Solari http://hdl.handle.net/20.500.12110/paper_05562813_v28_n6_p2472_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 A time-dependent variational procedure is proposed that possesses the same constants of the motion as the exact many-body Schrödinger dynamics. The class of trial wave functions is larger than the manifold of Slater determinants that supports the time-dependent Hartree-Fock dynamics. These wave functions can be regarded as superpositions of the eigenfunctions of the conserved observable of interest and the variational equations display the usual parametric structure, with properly admixed energy gradients and the symplectic metric tensor. In an application to the Lipkin-Meshkov-Glick model, significant improvements over the usual mean-field or determinantal dynamics can be achieved. NUCLEAR STRUCTURE Mean field symmetry breaking; symmetry restoration; nondeterminantal wave function; time-dependent variational principle; parametric equations of motion; mean energy metric tensor; canonical coordinates; quasispin models; comparison with time-dependent Hartree-Fock dynamics. © 1983 The American Physical Society.
author Solari, Hernán Gustavo
Hernández, Ester Susana
spellingShingle Solari, Hernán Gustavo
Hernández, Ester Susana
Symmetry-conserving variational dynamics: Application to quasispin systems
author_facet Solari, Hernán Gustavo
Hernández, Ester Susana
author_sort Solari, Hernán Gustavo
title Symmetry-conserving variational dynamics: Application to quasispin systems
title_short Symmetry-conserving variational dynamics: Application to quasispin systems
title_full Symmetry-conserving variational dynamics: Application to quasispin systems
title_fullStr Symmetry-conserving variational dynamics: Application to quasispin systems
title_full_unstemmed Symmetry-conserving variational dynamics: Application to quasispin systems
title_sort symmetry-conserving variational dynamics: application to quasispin systems
publishDate 1983
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_05562813_v28_n6_p2472_Solari
http://hdl.handle.net/20.500.12110/paper_05562813_v28_n6_p2472_Solari
work_keys_str_mv AT solarihernangustavo symmetryconservingvariationaldynamicsapplicationtoquasispinsystems
AT hernandezestersusana symmetryconservingvariationaldynamicsapplicationtoquasispinsystems
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