Navegar

Colección

Datos Estadísticas

Artículo

Estamos trabajando para incorporar este artículo al repositorio
Consulte el artículo en la página del editor
Consulte la política de Acceso Abierto del editor

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. © Springer Science+Business Media, LLC 2009.

Registro:

Documento: Artículo
Título:Quantum mechanics: Modal interpretation and Galilean transformations
Autor:Ardenghi, J.S.; Castagnino, M.; Lombardi, O.
Filiación:CONICET - IAFE, Buenos Aires, Argentina
CONICET - IAFE - IFIR, Buenos Aires, Argentina
CONICET - UBA, Buenos Aires, Argentina
Palabras clave:Casimir operators; Galilean group; Modal-Hamiltonian interpretation
Año:2009
Volumen:39
Número:9
Página de inicio:1023
Página de fin:1045
DOI: http://dx.doi.org/10.1007/s10701-009-9313-x
Título revista:Foundations of Physics
Título revista abreviado:Found. Phys.
ISSN:00159018
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00159018_v39_n9_p1023_Ardenghi

Referencias:

  • Lombardi, O., Castagnino, M., A modal-Hamiltonian interpretation of quantum mechanics (2008) Stud. Hist. Philos. Mod. Phys., 39, pp. 380-443
  • Castagnino, M., Lombardi, O., The role of the Hamiltonian in the interpretation of quantum mechanics (2008) J. Phys. Conf. Ser., 28, p. 012014
  • van Fraassen, B.C., A formal approach to the philosophy of science (1972) Paradigms and Paradoxes: The Philosophical Challenge of the Quantum Domain, pp. 303-366. , R. Colodny (Ed.), Pittsburgh: University of Pittsburgh Press
  • van Fraassen, B.C., Semantic analysis of quantum logic (1973) Contemporary Research in the Foundations and Philosophy of Quantum Theory, pp. 80-113. , C. A. Hooker (Ed.), Dordrecht: Reidel
  • van Fraassen, B.C., The Einstein-Podolsky-Rosen paradox (1974) Synthese, 29, pp. 291-309
  • Dieks, D., Vermaas, P.E., (1998) The Modal Interpretation of Quantum Mechanics, , Dordrecht: Kluwer
  • Harshman, N.L., Wickramasekara, S., Galilean and dynamical invariance of entanglement in particle scattering (2007) Phys. Rev. Lett., 98, p. 080406
  • Harshman, N.L., Wickramasekara, S., Tensor product structures, entanglement, and particle scattering (2007) Open Sys. Inf. Dyn., 14, pp. 341-351
  • Kochen, S., Specker, E., The problem of hidden variables in quantum mechanics (1967) J. Math. Mech., 17, pp. 59-87
  • Ballentine, L., (1998) Quantum Mechanics: A Modern Development, , Singapore: World Scientific
  • Tinkham, M., (1992) Group Theory and Quantum Mechanics, , New York: Dover
  • Meijer, P., Bauer, E., (2004) Group Theory. The Application to Quantum Mechanics, , New York: Dover
  • Weinberg, S., (1995) The Quantum Theory of Fields, vol. I: Foundations, , Cambridge: Cambridge University Press
  • Bose, S.K., The Galilean group in 2+1 space-times and its central extension (1995) Commun. Math. Phys., 169, pp. 385-395
  • Brading, K., Castellani, E., Symmetries and invariances in classical physics (2007) Philosophy of Physics, pp. 1331-1367. , In J. Butterfield and J. Earman (Eds.), Amsterdam: North-Holland
  • Cohen-Tannoudji, C., Diu, B., Lalöe, F., (1977) Quantum Mechanics, , New York: Wiley
  • Laue, H., Space and time translations commute, don't they? (1996) Am. J. Phys., 64, pp. 1203-1205
  • Peleg, Y., Pnini, R., Zaarur, E., (1998) Theory and Problems of Quantum Mechanics, , New York: McGraw-Hill
  • Tung, W.K., (1985) Group Theory in Physics, , Singapore: World Scientific
  • Wigner, E.P., On the unitary representations of the inhomogeneous Lorentz group (1939) Ann. Math., 40, pp. 149-204
  • Bargmann, V., On unitary ray representations of continuous groups (1954) Ann. Math., 59, pp. 1-46
  • Lévy-Leblond, J.M., Galilei group and nonrelativistic quantum mechanics (1963) J. Math. Phys., 4, pp. 776-788
  • Dynkin, E.B., Calculation of the coefficients in the Campbell-Hausdorff formula (1947) Dokl. Akad. Nauk, 57, pp. 323-326
  • Greiner, W., Reinhardt, J., (1995) Field Quantization, , Berlin: Springer

Citas:

---------- APA ----------
Ardenghi, J.S., Castagnino, M. & Lombardi, O. (2009) . Quantum mechanics: Modal interpretation and Galilean transformations. Foundations of Physics, 39(9), 1023-1045.
http://dx.doi.org/10.1007/s10701-009-9313-x
---------- CHICAGO ----------
Ardenghi, J.S., Castagnino, M., Lombardi, O. "Quantum mechanics: Modal interpretation and Galilean transformations" . Foundations of Physics 39, no. 9 (2009) : 1023-1045.
http://dx.doi.org/10.1007/s10701-009-9313-x
---------- MLA ----------
Ardenghi, J.S., Castagnino, M., Lombardi, O. "Quantum mechanics: Modal interpretation and Galilean transformations" . Foundations of Physics, vol. 39, no. 9, 2009, pp. 1023-1045.
http://dx.doi.org/10.1007/s10701-009-9313-x
---------- VANCOUVER ----------
Ardenghi, J.S., Castagnino, M., Lombardi, O. Quantum mechanics: Modal interpretation and Galilean transformations. Found. Phys. 2009;39(9):1023-1045.
http://dx.doi.org/10.1007/s10701-009-9313-x