Foundations of Physics 39 (9):1023-1045 (2009)

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Abstract
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
Keywords Modal-Hamiltonian interpretation  Galilean group  Casimir operators
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DOI 10.1007/s10701-009-9313-x
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References found in this work BETA

The Problem of Hidden Variables in Quantum Mechanics.Simon Kochen & E. P. Specker - 1967 - Journal of Mathematics and Mechanics 17:59--87.
Modal Interpretations of Quantum Mechanics.Olimpia Lombardi & Dennis Dieks - forthcoming - Stanford Encyclopedia of Philosophy.
A Modal-Hamiltonian Interpretation of Quantum Mechanics.Olimpia Lombardi & Mario Castagnino - 2008 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 39 (2):380-443.
A Modal-Hamiltonian Interpretation of Quantum Mechanics.Olimpia Lombardi & Mario Castagnino - 2008 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 39 (2):380-443.

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Citations of this work BETA

Modal Interpretations of Quantum Mechanics.Olimpia Lombardi & Dennis Dieks - forthcoming - Stanford Encyclopedia of Philosophy.
A New Application of the Modal-Hamiltonian Interpretation of Quantum Mechanics: The Problem of Optical Isomerism.Sebastian Fortin, Olimpia Lombardi & Juan Camilo Martínez González - 2018 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 62:123-135.
Entanglement and Indistinguishability in a Quantum Ontology of Properties.Sebastian Fortin & Olimpia Lombardi - 2022 - Studies in History and Philosophy of Science Part A 91:234-243.
Matters Are Not so Clear on the Physical Side.Mario Castagnino - 2010 - Foundations of Chemistry 12 (2):159-166.

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The Modal-Hamiltonian Interpretation and the Galilean Covariance of Quantum Mechanics.Olimpia Lombardi, Mario Castagnino & Juan Sebastián Ardenghi - 2010 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 41 (2):93-103.
A Modal-Hamiltonian Interpretation of Quantum Mechanics.Olimpia Lombardi & Mario Castagnino - 2008 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 39 (2):380-443.
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Quantum Mechanics in Galilean Space-Time.Ray E. Artz - 1981 - Foundations of Physics 11 (11-12):839-862.

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