Covariant observer-dependent Hamiltonian formalism for the relativistic particle

We show that it is possible to formulate the canonical Hamiltonian formalism for the relativistic particle, in a covariant fashion and without some well-known problems, when we introduce the concept of a reference system to establish the notions of time and space. Starting from the observer-dependen...

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Autores principales: Ferraro, Rafael, Yastremiz, Claudia, Castagnino, Mario Alberto G. J.
Publicado: 1987
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_05562821_v35_n2_p540_Ferraro
http://hdl.handle.net/20.500.12110/paper_05562821_v35_n2_p540_Ferraro
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_05562821_v35_n2_p540_Ferraro
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spelling paper:paper_05562821_v35_n2_p540_Ferraro2025-07-30T18:18:33Z Covariant observer-dependent Hamiltonian formalism for the relativistic particle Ferraro, Rafael Yastremiz, Claudia Castagnino, Mario Alberto G. J. We show that it is possible to formulate the canonical Hamiltonian formalism for the relativistic particle, in a covariant fashion and without some well-known problems, when we introduce the concept of a reference system to establish the notions of time and space. Starting from the observer-dependent Hamiltonian formalism, we obtain the result that the wave function describing the quantum behavior of the particle must be observer dependent and we give the corresponding wave equation. © 1987 The American Physical Society. Fil:Ferraro, R. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Yastremiz, C. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Castagnino, M. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 1987 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_05562821_v35_n2_p540_Ferraro http://hdl.handle.net/20.500.12110/paper_05562821_v35_n2_p540_Ferraro
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 it is possible to formulate the canonical Hamiltonian formalism for the relativistic particle, in a covariant fashion and without some well-known problems, when we introduce the concept of a reference system to establish the notions of time and space. Starting from the observer-dependent Hamiltonian formalism, we obtain the result that the wave function describing the quantum behavior of the particle must be observer dependent and we give the corresponding wave equation. © 1987 The American Physical Society.
author Ferraro, Rafael
Yastremiz, Claudia
Castagnino, Mario Alberto G. J.
spellingShingle Ferraro, Rafael
Yastremiz, Claudia
Castagnino, Mario Alberto G. J.
Covariant observer-dependent Hamiltonian formalism for the relativistic particle
author_facet Ferraro, Rafael
Yastremiz, Claudia
Castagnino, Mario Alberto G. J.
author_sort Ferraro, Rafael
title Covariant observer-dependent Hamiltonian formalism for the relativistic particle
title_short Covariant observer-dependent Hamiltonian formalism for the relativistic particle
title_full Covariant observer-dependent Hamiltonian formalism for the relativistic particle
title_fullStr Covariant observer-dependent Hamiltonian formalism for the relativistic particle
title_full_unstemmed Covariant observer-dependent Hamiltonian formalism for the relativistic particle
title_sort covariant observer-dependent hamiltonian formalism for the relativistic particle
publishDate 1987
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_05562821_v35_n2_p540_Ferraro
http://hdl.handle.net/20.500.12110/paper_05562821_v35_n2_p540_Ferraro
work_keys_str_mv AT ferrarorafael covariantobserverdependenthamiltonianformalismfortherelativisticparticle
AT yastremizclaudia covariantobserverdependenthamiltonianformalismfortherelativisticparticle
AT castagninomarioalbertogj covariantobserverdependenthamiltonianformalismfortherelativisticparticle
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