Covariant Hamiltonian formalisms for particles and antiparticles

The hyperplane and proper time formalisms are discussed mainly for spin-half particles in the quantum case. A connection between these covariant Hamiltonian formalisms is established. It is shown that by choosing the spacelike hyperplanes instantaneously orthogonal to the direction of motion of the...

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Autores principales: Garcia Alvarez, E.T., Gaioli, F.H.
Formato: JOUR
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00207748_v38_n1_p243_GarciaAlvarez
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_00207748_v38_n1_p243_GarciaAlvarez
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spelling todo:paper_00207748_v38_n1_p243_GarciaAlvarez2023-10-03T14:20:01Z Covariant Hamiltonian formalisms for particles and antiparticles Garcia Alvarez, E.T. Gaioli, F.H. The hyperplane and proper time formalisms are discussed mainly for spin-half particles in the quantum case. A connection between these covariant Hamiltonian formalisms is established. It is shown that by choosing the spacelike hyperplanes instantaneously orthogonal to the direction of motion of the particle allows one to retrieve the proper time formalism on the mass shell. As a consequence, the relation between the Stückelberg-Feynman picture and the standard canonical picture of quantum field theory is clarified. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00207748_v38_n1_p243_GarciaAlvarez
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description The hyperplane and proper time formalisms are discussed mainly for spin-half particles in the quantum case. A connection between these covariant Hamiltonian formalisms is established. It is shown that by choosing the spacelike hyperplanes instantaneously orthogonal to the direction of motion of the particle allows one to retrieve the proper time formalism on the mass shell. As a consequence, the relation between the Stückelberg-Feynman picture and the standard canonical picture of quantum field theory is clarified.
format JOUR
author Garcia Alvarez, E.T.
Gaioli, F.H.
spellingShingle Garcia Alvarez, E.T.
Gaioli, F.H.
Covariant Hamiltonian formalisms for particles and antiparticles
author_facet Garcia Alvarez, E.T.
Gaioli, F.H.
author_sort Garcia Alvarez, E.T.
title Covariant Hamiltonian formalisms for particles and antiparticles
title_short Covariant Hamiltonian formalisms for particles and antiparticles
title_full Covariant Hamiltonian formalisms for particles and antiparticles
title_fullStr Covariant Hamiltonian formalisms for particles and antiparticles
title_full_unstemmed Covariant Hamiltonian formalisms for particles and antiparticles
title_sort covariant hamiltonian formalisms for particles and antiparticles
url http://hdl.handle.net/20.500.12110/paper_00207748_v38_n1_p243_GarciaAlvarez
work_keys_str_mv AT garciaalvarezet covarianthamiltonianformalismsforparticlesandantiparticles
AT gaiolifh covarianthamiltonianformalismsforparticlesandantiparticles
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