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Abstract:

We present a formalism which allows one to define probabilities for expressions that involve properties at different times for classical and quantum systems and we study its lattice structure. The formalism is based on the notion of time translation of properties. In the quantum case, the properties involved should satisfy compatibility conditions in order to obtain well-defined probabilities. The formalism is applied to describe the double-slit experiment. © 2013 American Physical Society.

Registro:

Documento: Artículo
Título:Probabilities for time-dependent properties in classical and quantum mechanics
Autor:Losada, M.; Vanni, L.; Laura, R.
Filiación:Instituto de Física Rosario, Pellegrini 250, 2000 Rosario, Argentina
Facultad de Ciencias Exactas y Naturales (UBA), Pabellón i, Ciudad Universitaria, 1428 Buenos Aires, Argentina
Facultad de Ciencias Exactas, Ingeniería y Agrimensura (UNR), Instituto de Física Rosario (CONICET-UNR), Pellegrini 250, 2000 Rosario, Argentina
Palabras clave:Compatibility conditions; Double-slit experiment; Lattice structures; Quantum system; Time-dependent properties; Quantum electronics; Quantum optics; Probability
Año:2013
Volumen:87
Número:5
DOI: http://dx.doi.org/10.1103/PhysRevA.87.052128
Título revista:Physical Review A - Atomic, Molecular, and Optical Physics
Título revista abreviado:Phys Rev A
ISSN:10502947
CODEN:PLRAA
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v87_n5_p_Losada

Referencias:

  • Feynman, R., (1967) The Character of Physical Law, , The MIT Press, Cambridge, MA
  • Ballentine, L.E., (1998) Quantum Mechanics: A Modern Development, , World Scientific Publishing Co. Pte. Ltd., Singapore
  • Griffiths, R., (1984) J. Stat. Phys., 36, p. 219. , JSTPBS 0022-4715 10.1007/BF01015734
  • Omnès, R., (1988) J. Stat. Phys., 53, p. 893. , 0022-4715 10.1007/BF01014230
  • Gell-Mann, M., Hartle, J.B., (1990) Complexity, Entropy and the Physics of Information, , in edited by W. Zurek (Addison-Wesley, Reading
  • Laura, R., Vanni, L., (2009) Found. Phys., 39, p. 160. , FNDPA4 0015-9018 10.1007/s10701-008-9268-3
  • Vanni, L., Laura, R., Int. J. Theor. Phys., , (accepted for publication)
  • Losada, M., Laura, R., (2013) Int. J. Theor. Phys., 52, p. 1289. , IJTPBM 0020-7748 10.1007/s10773-012-1444-8
  • Ballentine, L.E., (1986) Am. J. Phys., 54, p. 883. , AJPIAS 0002-9505 10.1119/1.14783
  • Griffiths, R., Omnès, R., (1999) Phys. Today, 52, p. 26. , PHTOAD 0031-9228 10.1063/1.882775

Citas:

---------- APA ----------
Losada, M., Vanni, L. & Laura, R. (2013) . Probabilities for time-dependent properties in classical and quantum mechanics. Physical Review A - Atomic, Molecular, and Optical Physics, 87(5).
http://dx.doi.org/10.1103/PhysRevA.87.052128
---------- CHICAGO ----------
Losada, M., Vanni, L., Laura, R. "Probabilities for time-dependent properties in classical and quantum mechanics" . Physical Review A - Atomic, Molecular, and Optical Physics 87, no. 5 (2013).
http://dx.doi.org/10.1103/PhysRevA.87.052128
---------- MLA ----------
Losada, M., Vanni, L., Laura, R. "Probabilities for time-dependent properties in classical and quantum mechanics" . Physical Review A - Atomic, Molecular, and Optical Physics, vol. 87, no. 5, 2013.
http://dx.doi.org/10.1103/PhysRevA.87.052128
---------- VANCOUVER ----------
Losada, M., Vanni, L., Laura, R. Probabilities for time-dependent properties in classical and quantum mechanics. Phys Rev A. 2013;87(5).
http://dx.doi.org/10.1103/PhysRevA.87.052128