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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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 |
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R-134 |
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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 |
_version_ |
1807321672545468416 |