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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1999
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| Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01430807_v20_n1_pL7_Costa http://hdl.handle.net/20.500.12110/paper_01430807_v20_n1_pL7_Costa |
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paper:paper_01430807_v20_n1_pL7_Costa |
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paper:paper_01430807_v20_n1_pL7_Costa2023-06-08T15:11:42Z 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 illustrate the problem. © 1999 IOP Publishing Ltd. 1999 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01430807_v20_n1_pL7_Costa 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. |
| title |
On the equivalence between Cauchy data and time boundary conditions in classical particle mechanics |
| spellingShingle |
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 |
| publishDate |
1999 |
| url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01430807_v20_n1_pL7_Costa http://hdl.handle.net/20.500.12110/paper_01430807_v20_n1_pL7_Costa |
| _version_ |
1768544034116075520 |