Quantum mechanics: Modal interpretation and Galilean transformations

The aim of this paper is to consider in what sense the modal-Hamiltonian interpretation of quantum mechanics satisfies the physical constraints imposed by the Galilean group. In particular, we show that the only apparent conflict, which follows from boost-transformations, can be overcome when the de...

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Detalles Bibliográficos
Publicado: 2009
Materias:
Casimir operators
Galilean group
Modal-Hamiltonian interpretation
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00159018_v39_n9_p1023_Ardenghi
http://hdl.handle.net/20.500.12110/paper_00159018_v39_n9_p1023_Ardenghi
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_00159018_v39_n9_p1023_Ardenghi
record_format dspace
spelling paper:paper_00159018_v39_n9_p1023_Ardenghi2023-06-08T14:38:13Z Quantum mechanics: Modal interpretation and Galilean transformations Casimir operators Galilean group Modal-Hamiltonian interpretation The aim of this paper is to consider in what sense the modal-Hamiltonian interpretation of quantum mechanics satisfies the physical constraints imposed by the Galilean group. In particular, we show that the only apparent conflict, which follows from boost-transformations, can be overcome when the definition of quantum systems and subsystems is taken into account. On this basis, we apply the interpretation to different well-known models, in order to obtain concrete examples of the previous conceptual conclusions. Finally, we consider the role played by the Casimir operators of the Galilean group in the interpretation. © Springer Science+Business Media, LLC 2009. 2009 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00159018_v39_n9_p1023_Ardenghi http://hdl.handle.net/20.500.12110/paper_00159018_v39_n9_p1023_Ardenghi
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Casimir operators
Galilean group
Modal-Hamiltonian interpretation
spellingShingle Casimir operators
Galilean group
Modal-Hamiltonian interpretation
Quantum mechanics: Modal interpretation and Galilean transformations
topic_facet Casimir operators
Galilean group
Modal-Hamiltonian interpretation
description The aim of this paper is to consider in what sense the modal-Hamiltonian interpretation of quantum mechanics satisfies the physical constraints imposed by the Galilean group. In particular, we show that the only apparent conflict, which follows from boost-transformations, can be overcome when the definition of quantum systems and subsystems is taken into account. On this basis, we apply the interpretation to different well-known models, in order to obtain concrete examples of the previous conceptual conclusions. Finally, we consider the role played by the Casimir operators of the Galilean group in the interpretation. © Springer Science+Business Media, LLC 2009.
title Quantum mechanics: Modal interpretation and Galilean transformations
title_short Quantum mechanics: Modal interpretation and Galilean transformations
title_full Quantum mechanics: Modal interpretation and Galilean transformations
title_fullStr Quantum mechanics: Modal interpretation and Galilean transformations
title_full_unstemmed Quantum mechanics: Modal interpretation and Galilean transformations
title_sort quantum mechanics: modal interpretation and galilean transformations
publishDate 2009
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00159018_v39_n9_p1023_Ardenghi
http://hdl.handle.net/20.500.12110/paper_00159018_v39_n9_p1023_Ardenghi
_version_ 1768546568369078272

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