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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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_00159018_v39_n9_p1023_Ardenghi |
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todo:paper_00159018_v39_n9_p1023_Ardenghi2023-10-03T14:13:55Z Quantum mechanics: Modal interpretation and Galilean transformations Ardenghi, J.S. Castagnino, M. Lombardi, O. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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 Ardenghi, J.S. Castagnino, M. Lombardi, O. 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. |
| format |
JOUR |
| author |
Ardenghi, J.S. Castagnino, M. Lombardi, O. |
| author_facet |
Ardenghi, J.S. Castagnino, M. Lombardi, O. |
| author_sort |
Ardenghi, J.S. |
| 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 |
| url |
http://hdl.handle.net/20.500.12110/paper_00159018_v39_n9_p1023_Ardenghi |
| work_keys_str_mv |
AT ardenghijs quantummechanicsmodalinterpretationandgalileantransformations AT castagninom quantummechanicsmodalinterpretationandgalileantransformations AT lombardio quantummechanicsmodalinterpretationandgalileantransformations |
| _version_ |
1807314401340948480 |