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