The modal-hamiltonian interpretation of quantum mechanics as a kind of "atomic" interpretation

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Modal interpretations are non-collapse interpretations, where the quantum state of a system describes its possible properties rather than the properties that it actually possesses. Among them, the atomic modal interpretation (AMI) assumes the existence of a special set of disjoint systems that fixes...

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Autores principales: Ardenghi, J.S., Lombardi, O.
Formato: JOUR
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_1687689X_v_n_p_Ardenghi
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling todo:paper_1687689X_v_n_p_Ardenghi2023-10-03T16:29:53Z The modal-hamiltonian interpretation of quantum mechanics as a kind of "atomic" interpretation Ardenghi, J.S. Lombardi, O. Modal interpretations are non-collapse interpretations, where the quantum state of a system describes its possible properties rather than the properties that it actually possesses. Among them, the atomic modal interpretation (AMI) assumes the existence of a special set of disjoint systems that fixes the preferred factorization of the Hilbert space. The aim of this paper is to analyze the relationship between the AMI and our recently presented modal-hamiltonian interpretation (MHI), by showing that the MHI can be viewed as a kind of "atomic" interpretation in two different senses. On the one hand, the MHI provides a precise criterion for the preferred factorization of the Hilbert space into factors representing elemental systems. On the other hand, the MHI identifies the atomic systems that represent elemental particles on the basis of the Galilei group. Finally, we will show that the MHI also introduces a decomposition of the Hilbert space of any elemental system, which determines with precision what observables acquire definite actual values. Copyright © 2011 Juan Sebastin Ardenghi and Olimpia Lombardi. Fil:Ardenghi, J.S. 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_1687689X_v_n_p_Ardenghi
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description Modal interpretations are non-collapse interpretations, where the quantum state of a system describes its possible properties rather than the properties that it actually possesses. Among them, the atomic modal interpretation (AMI) assumes the existence of a special set of disjoint systems that fixes the preferred factorization of the Hilbert space. The aim of this paper is to analyze the relationship between the AMI and our recently presented modal-hamiltonian interpretation (MHI), by showing that the MHI can be viewed as a kind of "atomic" interpretation in two different senses. On the one hand, the MHI provides a precise criterion for the preferred factorization of the Hilbert space into factors representing elemental systems. On the other hand, the MHI identifies the atomic systems that represent elemental particles on the basis of the Galilei group. Finally, we will show that the MHI also introduces a decomposition of the Hilbert space of any elemental system, which determines with precision what observables acquire definite actual values. Copyright © 2011 Juan Sebastin Ardenghi and Olimpia Lombardi.
format JOUR
author Ardenghi, J.S.
Lombardi, O.
spellingShingle Ardenghi, J.S.
Lombardi, O.
The modal-hamiltonian interpretation of quantum mechanics as a kind of "atomic" interpretation
author_facet Ardenghi, J.S.
Lombardi, O.
author_sort Ardenghi, J.S.
title The modal-hamiltonian interpretation of quantum mechanics as a kind of "atomic" interpretation
title_short The modal-hamiltonian interpretation of quantum mechanics as a kind of "atomic" interpretation
title_full The modal-hamiltonian interpretation of quantum mechanics as a kind of "atomic" interpretation
title_fullStr The modal-hamiltonian interpretation of quantum mechanics as a kind of "atomic" interpretation
title_full_unstemmed The modal-hamiltonian interpretation of quantum mechanics as a kind of "atomic" interpretation
title_sort modal-hamiltonian interpretation of quantum mechanics as a kind of "atomic" interpretation
url http://hdl.handle.net/20.500.12110/paper_1687689X_v_n_p_Ardenghi
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AT lombardio modalhamiltonianinterpretationofquantummechanicsasakindofatomicinterpretation
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