The modal-hamiltonian interpretation of quantum mechanics as a kind of "atomic" interpretation
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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Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_1687689X_v_n_p_Ardenghi http://hdl.handle.net/20.500.12110/paper_1687689X_v_n_p_Ardenghi |
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paper:paper_1687689X_v_n_p_Ardenghi2023-06-08T16:26:41Z The modal-hamiltonian interpretation of quantum mechanics as a kind of "atomic" interpretation Ardenghi, Juan Sebastián 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. 2011 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_1687689X_v_n_p_Ardenghi http://hdl.handle.net/20.500.12110/paper_1687689X_v_n_p_Ardenghi |
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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 |
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. |
author |
Ardenghi, Juan Sebastián |
spellingShingle |
Ardenghi, Juan Sebastián The modal-hamiltonian interpretation of quantum mechanics as a kind of "atomic" interpretation |
author_facet |
Ardenghi, Juan Sebastián |
author_sort |
Ardenghi, Juan Sebastián |
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 |
publishDate |
2011 |
url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_1687689X_v_n_p_Ardenghi http://hdl.handle.net/20.500.12110/paper_1687689X_v_n_p_Ardenghi |
work_keys_str_mv |
AT ardenghijuansebastian themodalhamiltonianinterpretationofquantummechanicsasakindofatomicinterpretation AT ardenghijuansebastian modalhamiltonianinterpretationofquantummechanicsasakindofatomicinterpretation |
_version_ |
1768544012430475264 |