The modal-Hamiltonian interpretation and the Galilean covariance of quantum mechanics

The aim of this paper is to analyze the modal-Hamiltonian interpretation of quantum mechanics in the light of the Galilean group. In particular, it is shown that the rule of definite-value assignment proposed by that interpretation has the same properties of Galilean covariance and invariance as the...

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Autores principales: Lombardi, O., Castagnino, M., Sebastián Ardenghi, J.
Formato: JOUR
Materias:
Covariance
Galilean group
Hamiltonian
Invariance
Modal interpretations
Quantum mechanics
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_13552198_v41_n2_p93_Lombardi
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_13552198_v41_n2_p93_Lombardi
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spelling todo:paper_13552198_v41_n2_p93_Lombardi2023-10-03T16:10:19Z The modal-Hamiltonian interpretation and the Galilean covariance of quantum mechanics Lombardi, O. Castagnino, M. Sebastián Ardenghi, J. Covariance Galilean group Hamiltonian Invariance Modal interpretations Quantum mechanics The aim of this paper is to analyze the modal-Hamiltonian interpretation of quantum mechanics in the light of the Galilean group. In particular, it is shown that the rule of definite-value assignment proposed by that interpretation has the same properties of Galilean covariance and invariance as the Schrödinger equation. Moreover, it is argued that, when the Schrödinger equation is invariant, the rule can be reformulated in an explicitly invariant form in terms of the Casimir operators of the Galilean group. Finally, the possibility of extrapolating the rule to quantum field theory is considered. © 2010 Elsevier Ltd. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_13552198_v41_n2_p93_Lombardi
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Covariance
Galilean group
Hamiltonian
Invariance
Modal interpretations
Quantum mechanics
spellingShingle Covariance
Galilean group
Hamiltonian
Invariance
Modal interpretations
Quantum mechanics
Lombardi, O.
Castagnino, M.
Sebastián Ardenghi, J.
The modal-Hamiltonian interpretation and the Galilean covariance of quantum mechanics
topic_facet Covariance
Galilean group
Hamiltonian
Invariance
Modal interpretations
Quantum mechanics
description The aim of this paper is to analyze the modal-Hamiltonian interpretation of quantum mechanics in the light of the Galilean group. In particular, it is shown that the rule of definite-value assignment proposed by that interpretation has the same properties of Galilean covariance and invariance as the Schrödinger equation. Moreover, it is argued that, when the Schrödinger equation is invariant, the rule can be reformulated in an explicitly invariant form in terms of the Casimir operators of the Galilean group. Finally, the possibility of extrapolating the rule to quantum field theory is considered. © 2010 Elsevier Ltd.
format JOUR
author Lombardi, O.
Castagnino, M.
Sebastián Ardenghi, J.
author_facet Lombardi, O.
Castagnino, M.
Sebastián Ardenghi, J.
author_sort Lombardi, O.
title The modal-Hamiltonian interpretation and the Galilean covariance of quantum mechanics
title_short The modal-Hamiltonian interpretation and the Galilean covariance of quantum mechanics
title_full The modal-Hamiltonian interpretation and the Galilean covariance of quantum mechanics
title_fullStr The modal-Hamiltonian interpretation and the Galilean covariance of quantum mechanics
title_full_unstemmed The modal-Hamiltonian interpretation and the Galilean covariance of quantum mechanics
title_sort modal-hamiltonian interpretation and the galilean covariance of quantum mechanics
url http://hdl.handle.net/20.500.12110/paper_13552198_v41_n2_p93_Lombardi
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