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Abstract:

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.

Registro:

Documento: Artículo
Título:On the equivalence between Cauchy data and time boundary conditions in classical particle mechanics
Autor:Costa, A.; Domenech, G.; Yastremiz, C.
Filiación:Instituto de Astronomía y Física del Espacio, Casilla de correo 67, Sucursal 28, 1428 Buenos Aires, Argentina
Año:1999
Volumen:20
Número:1
Página de inicio:L7
Página de fin:L9
DOI: http://dx.doi.org/10.1088/0143-0807/20/1/006
Título revista:European Journal of Physics
Título revista abreviado:Eur J Phys
ISSN:01430807
CODEN:EJPHD
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01430807_v20_n1_pL7_Costa

Referencias:

  • Goldstein, H., (1980) Classical Mechanics 2nd Edn, , (Reading, MA: Addison-Wesley) ch 2
  • Landau, L.D., Lifshitz, E.M., (1976) Mechanics 3rd Edn, , (Oxford: Pergamon) ch 1
  • Synge, J.L., Griffith, A., (1959) Principles of Mechanics 3rd Edn, , (New York: McGraw-Hill) ch 16

Citas:

---------- APA ----------
Costa, A., Domenech, G. & Yastremiz, C. (1999) . On the equivalence between Cauchy data and time boundary conditions in classical particle mechanics. European Journal of Physics, 20(1), L7-L9.
http://dx.doi.org/10.1088/0143-0807/20/1/006
---------- CHICAGO ----------
Costa, A., Domenech, G., Yastremiz, C. "On the equivalence between Cauchy data and time boundary conditions in classical particle mechanics" . European Journal of Physics 20, no. 1 (1999) : L7-L9.
http://dx.doi.org/10.1088/0143-0807/20/1/006
---------- MLA ----------
Costa, A., Domenech, G., Yastremiz, C. "On the equivalence between Cauchy data and time boundary conditions in classical particle mechanics" . European Journal of Physics, vol. 20, no. 1, 1999, pp. L7-L9.
http://dx.doi.org/10.1088/0143-0807/20/1/006
---------- VANCOUVER ----------
Costa, A., Domenech, G., Yastremiz, C. On the equivalence between Cauchy data and time boundary conditions in classical particle mechanics. Eur J Phys. 1999;20(1):L7-L9.
http://dx.doi.org/10.1088/0143-0807/20/1/006