Parte de libro

Estamos trabajando para incorporar este artículo al repositorio

Abstract:

The aim of this chapter is to supply a comprehensive presentation of a new member of the family of the modal interpretations of quantum mechanics. According to our modal-Hamiltonian interpretation, the Hamiltonian of the quantum system plays a decisive role in the definition of systems and subsystems, and in the rule that selects the observables whose possible values become actual. We shall begin with introducing the main interpretative postulates and by proving their Galilean invariance. Then we shall argue for the physical relevance of the interpretation. We shall also show how our interpretation solves the quantum measurement problem, both in the ideal and in the non-ideal versions, and why this solution is compatible with the environment-induced decoherence approach. Finally, we shall describe, from a philosophical viewpoint, the quantum ontology implied by the interpretation. © 2012 by Nova Science Publishers, Inc. All rights reserved.

Registro:

Documento: Parte de libro
Título:The modal-hamiltonian interpretation of quantum mechanics: Physical relevance and philosophical implications
Autor:Lombardi, O.; Fortin, S.; Castagnino, M.; Ardenghi, J.S.
Filiación:CONICET - Universidad de Buenos Aires, Argentina
CONICET - IAFE - Universidad de Buenos Aires, Argentina
CONICET - IAFE - IFIR - Universidad de Buenos Aires, Argentina
Año:2011
Página de inicio:1
Página de fin:62
Título revista:Quantum Mechanics
Título revista abreviado:Quantum Mech.
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_97816172_v_n_p1_Lombardi

Referencias:

  • Albert, D., Loewer, B., Wanted dead or alive: Two attempts to solve Schrödinger's paradox (1990) Proceedings of the 1990 Biennial Meeting of the Philosophy of Science Association, 1, pp. 277-285. , East Lansing: Philosophy of Science Association
  • Albert, D., Loewer, B., Non-ideal measurements (1993) Foundations of Physics Letters, 6, pp. 297-305
  • Amann, A., Must a molecule have a shape? (1992) South African Journal of Chemistry, 45, pp. 29-38
  • Ardenghi, J.S., Castagnino, M., Lombardi, O., Quantum mechanics: Modal interpretation and Galilean transformations (2009) Foundations of Physics, 39, pp. 1023-1045
  • Auyang, S.Y., (1995) How Is Quantum Field Theory Possible?, , Oxford: Oxford University Press
  • Bacciagaluppi, G., Dickson, W.M., Dynamics for modal interpretations (1999) Foundations of Physics, 29, pp. 1165-1201
  • Bacciagaluppi, G., Hemmo, M., Modal interpretations, decoherence and measurements (1996) Studies in History and Philosophy of Modern Physics, 27, pp. 239-277
  • Ballentine, L., Quantum Mechanics: A Modern Development (1998) Singapore: World Scientific
  • Bargmann, V., On unitary ray representations of continuous groups (1954) Annals of Mathematics, 59, pp. 1-46
  • Bohm, D., (1952) A suggested interpretation of the quantum theory in terms of 'hidden' variables. I and II, 85, pp. 166-193. , Physical Review
  • Bohr, N., On the notions of causality and complementarity (1948) Dialectica, 2, pp. 312-319
  • Bose, S.K., The Galilean group in 2+1 space-times and its central extension (1995) Communications in Mathematical Physics, 169, pp. 385-395
  • Brading, K., Castellani, E., (2007) Symmetries and invariances in classical physics, pp. 1331-1367. , In J. Butterfield and J. Earman (eds. ). Philosophy of Physics. Part B. Amsterdam: Elsevier
  • Brown, H., Suárez, M., Bacciagaluppi, G., (1998) Are 'sharp values' of observables always objective elements of reality?, pp. 289-306. , In D. Dieks and P. E. Vermaas (eds. ). The Modal Interpretation of Quantum Mechanics. Dordrecht: Kluwer Academis Publishers
  • Bub, J., Interpreting the Quantum Wold. Cambridge: Cambridge University Press. Bunge, M. (1977). Treatise on Basic Philosophy (1997), 3. , Ontology I. Dordrecht-Boston: Reidel; Butterfield, J., (2007) On symplectic reduction in classical mechanics, pp. 1-131. , In J. Butterfield and J. Earman (eds.). Philosophy of Physics. Part A. Amsterdam: Elsevier
  • Castagnino, M., Lombardi, O., The role of the Hamiltonian in the interpretation of quantum mechanics (2008) Journal of Physics. Conferences Series, 28, p. 012014
  • Cohen-Tannoudji, C., Diu, B., Lalöe, F., (1977) Quantum Mechanics, , New York: John Wiley and Sons
  • Dickson, M., Dieks, D., Modal interpretations of quantum mechanics (2008) The Stanford Encyclopedia of Philosophy. Stanford: Stanford University., , In E. N. Zalta (ed.)
  • Dieks, D., The formalism of quantum theory: An objective description of reality? (1988) Annalen der Physik, 7, pp. 174-190
  • Dieks, D., Objectification, measurement and classical limit according to the modal interpretation of quantum mechanics (1994) Proceedings of the Symposium on the Foundations of Modern Physics. Singapore: World Scientific, pp. 160-167. , In P. Busch, P. J. Lathi and P. Mittelstaedt (eds. )
  • Dieks, D., The modal interpretation of quantum mechanics, measurement and macroscopic behavior (1994) Physical Review D, 49, pp. 2290-2300
  • Dieks, D., Probability in modal interpretations of quantum mechanics (2007) Studies in History and Philosophy of Modern Physics, 38, pp. 292-310
  • Dieks, D., Vermaas, P.E., (1998) The Modal Interpretation of Quantum Mechanics, , Dordrecht: Kluwer Academis Publishers
  • Elby, A., Why «modal» interpretations don't solve the measurement problem (1993) Foundations of Physics Letters, 6, pp. 5-19
  • Elby, A., The 'decoherence' approach to the measurement problem in quantum mechanics (1994) Proceedings of the 1994 Biennial Meeting of the Philosophy of Science Association, 1, pp. S355-S365. , East Lansing: Philosophy of Science Association
  • Georgi, H., (1982) Lie Algebras in Particle Physics: From Isospin to Unified Theories, , Reading, MA: Benjamin-Cummings
  • Giere, R.N., A Laplacean formal semantics for single-case propensities (1976) Journal of Philosophical Logic, 5, pp. 321-353
  • Harshman, N.L., Wickramasekara, S., Galilean and dynamical invariance of entanglement in particle scattering (2007) Physical Review Letters, 98, p. 080406
  • Healey, R., (1989) The Philosophy of Quantum Mechanics: An Interactive Interpretation, , Cambridge: Cambridge University Press
  • Healey, R., Dissipating the quantum measurement problem (1995) Topoi, 14, pp. 55-65
  • Hughes, R.I.G., (1989) The Structure and Interpretation of Quantum Mechanics, , Cambridge Mass.: Harvard University Press
  • Kneale, W., Kneale, M., (1962) The Development of Logic, , Oxford: Clarendon Press
  • Kochen, S., A new interpretation of quantum mechanics (1985) Symposium on the Foundations of Modern Physics. Singapore: World Scientific, pp. 151-169. , In P. J. Lahti and P. Mittelsteadt (eds. )
  • Kochen, S., Specker, E., The problem of hidden variables in quantum mechanics (1967) Journal of Mathematics and Mechanics, 17, pp. 59-87
  • Lévi-Leblond, J.M., Galilei group and nonrelativistic quantum mechanics (1963) Journal of Mathematical Physics, 4, pp. 776-788
  • Lévi-Leblond, J.M., The pedagogical role and epistemological significance of group theory in quantum mechanics (1974) Nuovo Cimento, 4, pp. 99-143
  • Lombardi, O., Castagnino, M., A modal-Hamiltonian interpretation of quantum mechanics (2008) Studies in History and Philosophy of Modern Physics, 39, pp. 380-443
  • Lombardi, O., Castagnino, M., Ardenghi, J.S., The modal-Hamiltonian interpretation and the Galilean covariance of quantum mechanics (2010) Studies in History and Philosophy of Modern Physics, forthcoming
  • Loux, M., (1998) Metaphysics. A Contemporary Introduction, , London-New York: Routledge
  • Menzel, C., (2007) The Stanford Encyclopedia of Philosophy. Stanford: Stanford University., , Actualism. In E. N. Zalta (ed.)
  • Minkowski, H., The Principle of Relativity (1923) A Collection of Original Memoirs on the Special and General Theory of Relativity. New York: Dover, pp. 75-91. , Space and time. In W. Perrett and G. B. Jeffrey (eds.)
  • Mittelstaedt, P., (1998) The Interpretation of Quantum Mechanics and the Measurement Process, , Cambridge: Cambridge University Press
  • Monton, B., Van Fraassen and Ruetsche on preparation and measurement (1999) Philosophy of Science, 66, pp. S82-S91
  • Nozick, R., (2001) Invariances: The Structure of the Objective World, , Harvard: Harvard University Press
  • Omnès, R., (1994) The Interpretation of Quantum Mechanics, , Princeton: Princeton University Press
  • Omnès, R., (1999) Understanding Quantum Mechanics, , Princeton: Princeton University Press
  • Paz, J.P., Decoherence in quantum Brownian motion (1994) Physical Origins of Time Asymmetry. Cambridge: Cambridge University Press., , In J. Halliwell, J. Pérez-Mercader and W. Zurek (eds. )
  • Paz, J.P., Zurek, W., Quantum limit of decoherence: environment induced superselection of energy eigenstates (1999) Physical Review Letters, 82, pp. 5181-5185
  • Paz, J.P., Zurek, W., Environment-induced decoherence and the transition from quantum to classical." In D. Heiss (ed.). Fundamentals of Quantum Information (2002) Lecture Notes in Physics, 587. , Heidelberg-Berlin: Springer-Verlag
  • Primas, H., (1983) Chemistry, Quantum Mechanics and Reductionism, , Berlin: Springer
  • Russell, B., (1919) Introduction to Mathematical Philosophy, , London: George Allen and Unwin
  • Schlosshauer, M., Decoherence, the measurement problem, and interpretations of quantum mechanics (2004) Reviews of Modern Physics, 76, pp. 1267-1305
  • Schlosshauer, M., (2007) Decoherence and the Quantum-to-Classical Transition, , Heidelberg-Berlin: Springer
  • Tinkham, M., (1964) Group Theory and Quantum Mechanics, , New York: McGraw-Hill
  • Tung, W.K., (1985) Group Theory in Physics, , Singapore: World Scientific
  • van Fraassen, B.C., (1972) A formal approach to the philosophy of science, pp. 303-366. , In R. Colodny (ed.). Paradigms and Paradoxes: The Philosophical Challenge of the Quantum Domain. 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. Dordrecht: Reidel, pp. 80-113. , In C. A. Hooker (ed. )
  • van Fraassen, B.C., The Einstein-Podolsky-Rosen paradox (1974) Synthese, 29, pp. 291-309
  • Vermaas, P.E., Dieks, D., The modal interpretation of quantum mechanics and its generalization to density operators (1995) Foundations of Physics, 25, pp. 145-158
  • Weinberg, S., (1995) The Quantum Theory of Fields, 1. , Foundations. Cambridge: Cambridge University Press
  • Wigner, E.P., On the unitary representations of the inhomogeneous Lorentz group (1939) Annals of Mathematics, 40, pp. 149-204
  • Weyl, H., (1952) Symmetry, , Princeton: Princeton University Press
  • Wooley, R.G., Must a molecule have a shape? (1978) American Chemical Society, 100, pp. 1073-1078
  • Zurek, W., Pointer basis of quantum apparatus: into what mixtures does the wave packet collapse? (1981) Physical Review D, 24, pp. 1516-1525
  • Zurek, W., Environment-induced superselection rules (1982) Physical Review D, 26, pp. 1862-1880
  • Zurek, W., Preferred states, predictability, classicality and the environment-induced decoherence (1993) Progress of Theoretical Physics, 89, pp. 281-312
  • Zurek, W., Decoherence, einselection, and the quantum origins of the classical (2003) Reviews of Modern Physics, 75, pp. 715-776
  • Zurek, W., Habib, S., Paz, J.P., Coherent states via decoherence (1993) Physical Review Letters, 70, pp. 1187-1190

Citas:

---------- APA ----------
Lombardi, O., Fortin, S., Castagnino, M. & Ardenghi, J.S. (2011) . The modal-hamiltonian interpretation of quantum mechanics: Physical relevance and philosophical implications. Quantum Mechanics, 1-62.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_97816172_v_n_p1_Lombardi [ ]
---------- CHICAGO ----------
Lombardi, O., Fortin, S., Castagnino, M., Ardenghi, J.S. "The modal-hamiltonian interpretation of quantum mechanics: Physical relevance and philosophical implications" . Quantum Mechanics (2011) : 1-62.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_97816172_v_n_p1_Lombardi [ ]
---------- MLA ----------
Lombardi, O., Fortin, S., Castagnino, M., Ardenghi, J.S. "The modal-hamiltonian interpretation of quantum mechanics: Physical relevance and philosophical implications" . Quantum Mechanics, 2011, pp. 1-62.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_97816172_v_n_p1_Lombardi [ ]
---------- VANCOUVER ----------
Lombardi, O., Fortin, S., Castagnino, M., Ardenghi, J.S. The modal-hamiltonian interpretation of quantum mechanics: Physical relevance and philosophical implications. Quantum Mech. 2011:1-62.
Available from: https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_97816172_v_n_p1_Lombardi [ ]