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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Detalles Bibliográficos
Autor principal: Costa, Andrea
Otros Autores: Domenech, Graciela, Yastremiz, C.
Formato: Capítulo de libro
Lenguaje:Inglés
Publicado: 1999
Acceso en línea:Registro en Scopus
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245 1 3 |a On the equivalence between Cauchy data and time boundary conditions in classical particle mechanics 
260 |c 1999 
270 1 0 |m Costa, A.; Instituto de Astronomía y Física del Espacio, Casilla de correo 67, Sucursal 28, 1428 Buenos Aires, Argentina 
504 |a Goldstein, H., (1980) Classical Mechanics 2nd Edn, , (Reading, MA: Addison-Wesley) ch 2 
504 |a Landau, L.D., Lifshitz, E.M., (1976) Mechanics 3rd Edn, , (Oxford: Pergamon) ch 1 
504 |a Synge, J.L., Griffith, A., (1959) Principles of Mechanics 3rd Edn, , (New York: McGraw-Hill) ch 16 
506 |2 openaire  |e Política editorial 
520 3 |a 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.  |l eng 
593 |a Instituto de Astronomía y Física del Espacio, Casilla de correo 67, Sucursal 28, 1428 Buenos Aires, Argentina 
700 1 |a Domenech, Graciela 
700 1 |a Yastremiz, C. 
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