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, R., Yastremiz, C., Castagnino, M.
Formato: JOUR
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_05562821_v35_n2_p540_Ferraro
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spelling todo:paper_05562821_v35_n2_p540_Ferraro2023-10-03T15:35:16Z Covariant observer-dependent Hamiltonian formalism for the relativistic particle Ferraro, R. Yastremiz, C. Castagnino, M. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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.
format JOUR
author Ferraro, R.
Yastremiz, C.
Castagnino, M.
spellingShingle Ferraro, R.
Yastremiz, C.
Castagnino, M.
Covariant observer-dependent Hamiltonian formalism for the relativistic particle
author_facet Ferraro, R.
Yastremiz, C.
Castagnino, M.
author_sort Ferraro, R.
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
url http://hdl.handle.net/20.500.12110/paper_05562821_v35_n2_p540_Ferraro
work_keys_str_mv AT ferraror covariantobserverdependenthamiltonianformalismfortherelativisticparticle
AT yastremizc covariantobserverdependenthamiltonianformalismfortherelativisticparticle
AT castagninom covariantobserverdependenthamiltonianformalismfortherelativisticparticle
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