On the equivalence between Cauchy data and time boundary conditions in classical particle mechanics

We show that the assumption of equivalence between initial conditions (usually chosen when dealing with Newton equations) and time boundary conditions (preferred in Hamiltonian formalism) is not always warranted. The harmonic oscillator and the damped oscillator are simple examples that we use to il...

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Autores principales: Costa, A., Domenech, G., Yastremiz, C.
Formato: JOUR
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_01430807_v20_n1_pL7_Costa
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_01430807_v20_n1_pL7_Costa
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spelling todo:paper_01430807_v20_n1_pL7_Costa2023-10-03T14:59:11Z On the equivalence between Cauchy data and time boundary conditions in classical particle mechanics Costa, A. Domenech, G. Yastremiz, C. We show that the assumption of equivalence between initial conditions (usually chosen when dealing with Newton equations) and time boundary conditions (preferred in Hamiltonian formalism) is not always warranted. The harmonic oscillator and the damped oscillator are simple examples that we use to illustrate the problem. © 1999 IOP Publishing Ltd. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_01430807_v20_n1_pL7_Costa
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 show that the assumption of equivalence between initial conditions (usually chosen when dealing with Newton equations) and time boundary conditions (preferred in Hamiltonian formalism) is not always warranted. The harmonic oscillator and the damped oscillator are simple examples that we use to illustrate the problem. © 1999 IOP Publishing Ltd.
format JOUR
author Costa, A.
Domenech, G.
Yastremiz, C.
spellingShingle Costa, A.
Domenech, G.
Yastremiz, C.
On the equivalence between Cauchy data and time boundary conditions in classical particle mechanics
author_facet Costa, A.
Domenech, G.
Yastremiz, C.
author_sort Costa, A.
title On the equivalence between Cauchy data and time boundary conditions in classical particle mechanics
title_short On the equivalence between Cauchy data and time boundary conditions in classical particle mechanics
title_full On the equivalence between Cauchy data and time boundary conditions in classical particle mechanics
title_fullStr On the equivalence between Cauchy data and time boundary conditions in classical particle mechanics
title_full_unstemmed On the equivalence between Cauchy data and time boundary conditions in classical particle mechanics
title_sort on the equivalence between cauchy data and time boundary conditions in classical particle mechanics
url http://hdl.handle.net/20.500.12110/paper_01430807_v20_n1_pL7_Costa
work_keys_str_mv AT costaa ontheequivalencebetweencauchydataandtimeboundaryconditionsinclassicalparticlemechanics
AT domenechg ontheequivalencebetweencauchydataandtimeboundaryconditionsinclassicalparticlemechanics
AT yastremizc ontheequivalencebetweencauchydataandtimeboundaryconditionsinclassicalparticlemechanics
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