Abstract:
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.
Registro:
Documento: |
Artículo
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Título: | The modal-Hamiltonian interpretation and the Galilean covariance of quantum mechanics |
Autor: | Lombardi, O.; Castagnino, M.; Sebastián Ardenghi, J. |
Filiación: | CONICET-Universidad de Buenos Aires, Crisólogo Larralde 3440, 1430, Buenos Aires, Argentina CONICET-IAFE-Universidad de Buenos Aires, Casilla de Correos 67, Sucursal 28, 1428, Buenos Aires, Argentina
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Palabras clave: | Covariance; Galilean group; Hamiltonian; Invariance; Modal interpretations; Quantum mechanics |
Año: | 2010
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Volumen: | 41
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Número: | 2
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Página de inicio: | 93
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Página de fin: | 103
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DOI: |
http://dx.doi.org/10.1016/j.shpsb.2010.02.002 |
Título revista: | Studies in History and Philosophy of Science Part B - Studies in History and Philosophy of Modern Physics
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Título revista abreviado: | Stud. Hist. Philos. Sci. Part B Stud. Hist. Philos. Mod. Phys.
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ISSN: | 13552198
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_13552198_v41_n2_p93_Lombardi |
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Citas:
---------- APA ----------
Lombardi, O., Castagnino, M. & Sebastián Ardenghi, J.
(2010)
. The modal-Hamiltonian interpretation and the Galilean covariance of quantum mechanics. Studies in History and Philosophy of Science Part B - Studies in History and Philosophy of Modern Physics, 41(2), 93-103.
http://dx.doi.org/10.1016/j.shpsb.2010.02.002---------- CHICAGO ----------
Lombardi, O., Castagnino, M., Sebastián Ardenghi, J.
"The modal-Hamiltonian interpretation and the Galilean covariance of quantum mechanics"
. Studies in History and Philosophy of Science Part B - Studies in History and Philosophy of Modern Physics 41, no. 2
(2010) : 93-103.
http://dx.doi.org/10.1016/j.shpsb.2010.02.002---------- MLA ----------
Lombardi, O., Castagnino, M., Sebastián Ardenghi, J.
"The modal-Hamiltonian interpretation and the Galilean covariance of quantum mechanics"
. Studies in History and Philosophy of Science Part B - Studies in History and Philosophy of Modern Physics, vol. 41, no. 2, 2010, pp. 93-103.
http://dx.doi.org/10.1016/j.shpsb.2010.02.002---------- VANCOUVER ----------
Lombardi, O., Castagnino, M., Sebastián Ardenghi, J. The modal-Hamiltonian interpretation and the Galilean covariance of quantum mechanics. Stud. Hist. Philos. Sci. Part B Stud. Hist. Philos. Mod. Phys. 2010;41(2):93-103.
http://dx.doi.org/10.1016/j.shpsb.2010.02.002