Abstract:
The aim of this paper is to analyze time-asymmetric quantum mechanics with respect of its validity as a non time-reversal invariant time-asymmetric theory as well as of its ability to determine an arrow of time. © 2006 Springer Science+Business Media Inc.
Registro:
Documento: |
Artículo
|
Título: | Time-reversal, irreversibility and arrow of time in quantum mechanics |
Autor: | Castagnino, M.; Gadella, M.; Lombardi, O. |
Filiación: | CONICET, Instituto de Astronomía y Física del Espacio, Casilla de Correos 67, Sucursal 28, 1428, Buenos Aires, Argentina Departamento de Física Teórica, Facultad de Ciencias, Universidad de Valladolid, c. Real de Burgos, s.n., 47011, Valladolid, Spain CONICET, Instituto de Estudios Sobre la Ciencia y la Tecnología, Universidad Nacional de Quilmes, Rivadavia 2328, 60 Derecha, 1034, Buenos Aires, Argentina
|
Palabras clave: | Arrow of time; Irreversibility; Rigged Hilbert spaces |
Año: | 2006
|
Volumen: | 36
|
Número: | 3
|
Página de inicio: | 407
|
Página de fin: | 426
|
DOI: |
http://dx.doi.org/10.1007/s10701-005-9021-0 |
Título revista: | Foundations of Physics
|
Título revista abreviado: | Found. Phys.
|
ISSN: | 00159018
|
Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00159018_v36_n3_p407_Castagnino |
Referencias:
- Brush, S., (1976) The Kind of Motion We Call Heat, , North Holland, Amsterdam
- Cohen-Tannoudji, C., Diou, B., Laloe, F., (1977) Quantum Mechanics, , Wiley, New York
- Lee, T.D., (1981) Particle Physics and Field Theory, , Harwood, New York
- Bohm, A., Scurek, R., The phenomenological preparation-registration arrow of time and its semigroup representation in the RHS Quantum Theory (2000) Trends in Quantum Mechanics, , H. D. Doebner, S. T. Ali, M. Keyl, and R. F. Werner eds., (World Scientific, Singapore-London)
- Bohm, A., Loewe, M., Van De Ven, B., Time asymmetric quantum theory - I. Modifying an axiom of quantum physics (2003) Fortschr. Phys., 51, p. 551
- Bohm, A., Antoniou, I., Kielanowski, P., A quantum mechanical arrow of time and the semigroup time evolution of Gamow vectors (1994) J. Math. Phys., 36, p. 2593
- Bohm, A., Gadella, M., Mithaiwala, M.J., Time asymmetric quantum theory: Foundations and applications (2003) The Physics of Communication, Proceedings of the XXII Solvay Conference on Physics, p. 117. , World Scientific, Singapore
- Bishop, R.C., Bohm, A., Gadella, M., Irreversibility in quantum mechanics (2004) Discrete Dynamics in Nature and Society, 2004, pp. 75-83
- Prigogine, I., (1980) From Being to Becoming. Time and Complexity in the Physical Sciences, , Freeman, New York
- Petroski, T., Prigogine, I., Alternative formulation of classical and quantum dynamics for non-integrable systems (1991) Physica A, 175, p. 146
- Petroski, T., Prigogine, I., Tasaki, S., Quantum theory of non-integrable systems (1991) Physica A, 173, p. 175
- Antoniou, I., Prigogine, I., Intrinsic irreversibility and integrability of dynamics (1993) Physica A, 192, p. 443
- Petrosky, T., Prigogine, I., The extension of classical dynamics for unstable Hamiltonian systems (1997) Comp. Math. Appl., 34, p. 1
- Albert, D., (2000) Time and Chance, , Harvard, Cambridge (USA)
- Arntzenius, F., Time reversal operations, representations of the Lorentz group, and the direction of time (2004) Stud. Hist. Phil. Mod. Phys, 35, p. 31
- Castagnino, M., Lara, L., Lombardi, O., The cosmological origin of time asymmetry (2003) Class. Quant. Grav., 20, p. 369
- Tabor, M., (1989) Chaos and Integrability in Nonlinear Dynamics, , Wiley, New York
- Castagnino, M., Lombardi, O., Self-induced decoherence: A new approach (2004) Stud. Hist. Phil. Mod. Phys., 35, p. 73
- Penrose, R., Singularities and time asymmetry (1979) General Relativity, An Einstein Centenary Survey, , S. Hawking and W Israel, eds., (Cambridge, Cambridge)
- Sachs, R.G., (1987) The Physics of Time-reversal, , University of Chicago, Chicago
- Price, H., (1996) Time's Arrow and the Archimedes' Point, , Oxford, Oxford
- Castagnino, M., Lara, L., Lombardi, O., The direction of time: From the global arrow to the local arrow (2003) Int. J. Theor. Phys., 42, p. 2487
- Castagnino, M., Lombardi, O., Lara, L., The global arrow of time as a geometrical property of the Universe (2003) Found. Phys., 33, p. 877
- Castagnino, M., Lombardi, O., The generic nature of the global and non-entropic arrow of time and the dual role of the energy-momentum tensor (2004) J. Phys. A: Math, and Gen., 37, p. 4445
- Castagnino, M., Lombardi, O., The global non-entropic arrow of time: From global geometrical asymmetry to local energy flow Synthese, , forthcoming
- Antoine, J.P., Quantum mechanics beyond Hilbert space (1998) Irreversibility and Causality, 504, pp. pp3-33. , A. Bohm, H-D Doebner and P. Kielanowski, eds., Springer Lecture Notes in Physics, (Springer, Berlin and New York)
- Bohm, A., (1994) Quantum Mechanics: Fundations and Applications, , Springer, Berlin and New York
- Bohm, A., Gadella, M., (1989) Dirac Kets, Gamow Vectors and Gelfand Triplets, 348. , Springer Lecture Notes in Physics, (Springer, New York)
- Bohm, A., Gadella, M., Maxon, S., Extending the stationary quantum mechanics of being to a nonstationary quantum theory of becoming and decaying (1997) Comp. Math. Appl., 34, pp. 427-466
- Gadella, M., Gómez, F., A unified mathematical formalism for the Dirac formulation of Quantum Mechanics (2002) Found, Phys., 32, p. 815
- Gadella, M., Gómez, F., On the mathematical basis of the Dirac formulation of Quantum Mechanics (2003) Int. J. Theor. Phys., 42, pp. 2225-2254
- Paley, R., Wiener, N., (1934) Fourier Transforms in the Complex Domain, , American Mathematical Society, New York
- Antoniou, I.E., Dmitrieva, L., Kuperin, Yu., Melnikov, Y., Resonances and the extension of dynamics to rigged Hilbert space (1997) Comp. Math. Appl., 34, p. 339
- Gadella, M., De La Madrid, R., Resonances and time reversal operator in Quantum mechanics (1999) Int. J. Theor. Phys., 38, p. 93
- Gadella, M., Laura, R., Gamow dyads and expectation values (2001) Int. J. Quant. Chem., 81, pp. 307-320
- Castagnino, M., Gadella, M., Id Betan, R., Laura, R., Gamow functionals on operator algebras (2001) J. Phys. A: Math. Gen., 34, p. 10067
- Civitarese, O., Gadella, M., Id Betan, R., On the mean value of the energy for resonant states (1999) Nucl. Phys. A, 660, p. 255
- Ludwig, G., (1983) Foundations of Quantum Mechanics, 1-2. , Springer, Berlin
Citas:
---------- APA ----------
Castagnino, M., Gadella, M. & Lombardi, O.
(2006)
. Time-reversal, irreversibility and arrow of time in quantum mechanics. Foundations of Physics, 36(3), 407-426.
http://dx.doi.org/10.1007/s10701-005-9021-0---------- CHICAGO ----------
Castagnino, M., Gadella, M., Lombardi, O.
"Time-reversal, irreversibility and arrow of time in quantum mechanics"
. Foundations of Physics 36, no. 3
(2006) : 407-426.
http://dx.doi.org/10.1007/s10701-005-9021-0---------- MLA ----------
Castagnino, M., Gadella, M., Lombardi, O.
"Time-reversal, irreversibility and arrow of time in quantum mechanics"
. Foundations of Physics, vol. 36, no. 3, 2006, pp. 407-426.
http://dx.doi.org/10.1007/s10701-005-9021-0---------- VANCOUVER ----------
Castagnino, M., Gadella, M., Lombardi, O. Time-reversal, irreversibility and arrow of time in quantum mechanics. Found. Phys. 2006;36(3):407-426.
http://dx.doi.org/10.1007/s10701-005-9021-0