Time's arrow and irreversibility in time-asymmetric quantum mechanics
The aim of this paper is to analyze time-asymmetric quantum mechanics with respect to the problems of irreversibility and of time's arrow. We begin with arguing that both problems are conceptually different. Then, we show that, contrary to a common opinion, the theory's ability to describe...
| Autor principal: | |
|---|---|
| Otros Autores: | , |
| Formato: | Capítulo de libro |
| Lenguaje: | Inglés |
| Publicado: |
2005
|
| Acceso en línea: | Registro en Scopus DOI Handle Registro en la Biblioteca Digital |
| Aporte de: | Registro referencial: Solicitar el recurso aquí |
| LEADER | 12079caa a22010337a 4500 | ||
|---|---|---|---|
| 001 | PAPER-21972 | ||
| 003 | AR-BaUEN | ||
| 005 | 20241205082651.0 | ||
| 008 | 190411s2005 xx ||||fo|||| 00| 0 eng|d | ||
| 024 | 7 | |2 scopus |a 2-s2.0-40349115032 | |
| 040 | |a Scopus |b spa |c AR-BaUEN |d AR-BaUEN | ||
| 100 | 1 | |a Castagnino, Mario Alberto | |
| 245 | 1 | 0 | |a Time's arrow and irreversibility in time-asymmetric quantum mechanics |
| 260 | |c 2005 | ||
| 270 | 1 | 0 | |m Lombardi, O.; CONICET, Universidad National de QuimesArgentina; email: olimpiafilo@arnet.com.ar |
| 504 | |a Albert, D., (2000) Time and Chance, , Cambridge: Harvard University Press | ||
| 504 | |a Antoniou, I., Gadella, M., Pronko, G., Gamow vectors for degenerate scattering resonances (1998) Journal of Mathematical Physics, 39, pp. 2459-2475 | ||
| 504 | |a Antoniou, I., Prigogine, I., Intrinsic irreversibility and integrability of dynamics (1993) Physica A, 192, pp. 443-464 | ||
| 504 | |a Arntzenius, F., Time reversal operations, representations of the Lorentz group, and the direction of time (2004) Studies in History and Philosophy of Modern Physics, 35, pp. 31-44 | ||
| 504 | |a Bishop, R., (1999) Chaotic Dynamics, Indeterminacy and Free Will, , Presented to the Faculty of the Graduate School of The University of Texas at Austin | ||
| 504 | |a Bishop, R., A tale of two arrows (2003) International Journal of Theoretical Physics, 42, pp. 2371-2377 | ||
| 504 | |a Bishop, R., Arrow of time in rigged Hilbert space quantum mechanics (2004) International Journal of Theoretical Physics, 43, pp. 1675-1687 | ||
| 504 | |a Bishop, R., Nonequilibrium statistical mechanics Brussels-Austin style (2004) Studies in History and Philosophy of Modern Physics, 35, pp. 1-30 | ||
| 504 | |a Bohm, A., Resonance poles and Gamow vectors in the rigged Hilbert space formulation of quantum mechanics (1981) Journal of Mathematical Physics, 22, pp. 2813-2823 | ||
| 504 | |a Bohm, A., Antoniou, I., Kielanowski, P., A quantum mechanical arrow of time and the semigroup time evolution of Gamow vectors (1995) Journal of Mathematical Physics, 36, pp. 2593-2604 | ||
| 504 | |a Bohm, A., Gadella, M., Dirac Kets, Gamow vectors and Gel'fand triplets (1989) Springer Lecture Notes in Physics, 348. , New York: Springer | ||
| 504 | |a Bohm, A., Gadella, M., Mithaiwala, M., Time asymmetric quantum theory: Foundations and applications (2003) The Physics of Communication, Proceedings of the XXII Solvay Conference on Physics, , Singapore: World Scientific | ||
| 504 | |a Bohm, A., Harshamn, N.L., Quantum theory in the rigged Hilbert space. Irreversibility from causality (1998) Lectures Notes in Physics, 504. , edited by A. Bohm, H. D. Doebner and P. Kielanowski. Berlin: Springer | ||
| 504 | |a Bohm, A., Loewe, M., Van De Ven, B., Time asymmetic quantum theory. Modifying and axiom of quantum physics (2003) Fortschritte der Physik, 51, pp. 551-568 | ||
| 504 | |a Bohm, A., Maxson, S., Loewe, M., Gadella, M., Quantum mechanical irreversibility (1997) Physica A, 236, pp. 485-549 | ||
| 504 | |a 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, , edited by H. D. Doebner, S. T. Ali, M. Keyl, and R. F. Werner. Singapore: World Scientific | ||
| 504 | |a Bohm, A., Wickramasekara, S., A new topology for an axiom of quantum mechanics (2002) Irreversible Quantum Dynamics, Lecture Notes in Physics, 622. , Berlin: Springer | ||
| 504 | |a Castagnino, M., Gadella, M., Betan, R.I., Laura, R., Gamow functionals on operator algebras (2001) Journal of Physics A, 34, pp. 10067-10084 | ||
| 504 | |a Castagnino, M., Betan, R.I., Laura, R., Liotta, R., Quantum decay processes and Gamov states (2002) Journal of Physics A, 35, pp. 6055-6074 | ||
| 504 | |a Castagnino, M., Lara, L., Lombardi, O., The cosmological origin of time-asymmetry (2003) Classical and Quantum Gravity, 20, pp. 369-391 | ||
| 504 | |a Castagnino, M., Lara, L., Lombardi, O., The direction of time: From the global arrow to the local arrow (2003) International Journal of Theoretical Physics, 42, pp. 2487-2504 | ||
| 504 | |a Castagnino, M., Laura, R., Minimal irreversible quantum mechanics: Pure-state formalism (1997) Physical Review A, 56, pp. 108-119 | ||
| 504 | |a Castagnino, M., Lombardi, O., The generic nature of the global and non-entropic arrow of time and the double role of the energy-momentum tensor (2004) Journal of Physics A, 37, pp. 4445-4463 | ||
| 504 | |a Castagnino, M., Lombardi, O., A global and non-entropic approach to the problem of the arrow of time (2005) Spacetime Physics Research | ||
| 504 | |a Castagnino, M., Lombardi, O., The global non-entropic arrow of time: From global geometrical asymmetry to local energy flow (2005) Synthese, , forthcoming | ||
| 504 | |a Castagnino, M., Lombardi, O., Lara, L., The global arrow of time as a geometrical property of the universe (2003) Foundations of Physics, 33, pp. 877-912 | ||
| 504 | |a Civitarese, O., Gadella, M., Physical and mathematical aspects of Gamow states (2004) Physics Reports, 396, pp. 41-113 | ||
| 504 | |a Earman, J., What time reversal invariance is and why it matters (2002) International Studies in the Philosophy of Science, 16, pp. 245-264 | ||
| 504 | |a Ehrenfest, P., Ehrenfest, T., (1959) The Conceptual Foundations of the Statistical Approach in Mechanics, , Ithaca, NY: Cornell University Press (original 1912) | ||
| 504 | |a Gadella, M., A description of virtual scattering states in the rigged Hilbert space formulation of quantum mechanics (1983) Journal of Mathematical Physics, 24, pp. 2142-2145 | ||
| 504 | |a Gadella, M., On the RHS description of resonances and virtual states (1984) Journal of Mathematical Physics, 25, pp. 2481-2485 | ||
| 504 | |a Gadella, M., Derivation of Gamow vectors for resonances in cut-off potentials (1997) Letters in Mathematical Physics, 41, pp. 279-290 | ||
| 504 | |a Gadella, M., De La Madrid, R., Resonances and time reversal operator in rigged Hilbert spaces (1999) International Journal of Theoretical Physics, 38, pp. 93-113 | ||
| 504 | |a Gamow, G., Zur Quantentheorie des Atomkernes (1928) Zeitschrift für Physik, 51, pp. 204-212 | ||
| 504 | |a Gel'Fand, I., Vilenkin, N., (1964) Generalized Functions, Vol. 3: Theory of Differential Equations, , New York: Academic Press | ||
| 504 | |a Grossmann, A., Nested Hilbert spaces in quantum mechanics i (1964) Journal of Mathematical Physics, 5, pp. 1025-1037 | ||
| 504 | |a Lax, P., Phillips, R., (1979) Scattering Theory, , New York: Academic Press | ||
| 504 | |a Lindblad, G., Nagel, B., Continuous bases for unitary irreducible representation of SU (1,1) (1970) Annales de l'Institut Henri Poincaré A, 13, pp. 27-56 | ||
| 504 | |a Ludwig, G., (1983) Foundations of Quantum Mechanics, 2-2. , Berlin: Springer | ||
| 504 | |a Misra, B., Prigogine, I., Irreversibility and nonlocality (1983) Letters in Mathematical Physics, 7, pp. 421-429 | ||
| 504 | |a Paley, R., Wiener, N., (1934) Fourier Transforms in the Complex Domain, , New York: American Mathematical Society | ||
| 504 | |a Penrose, R., Singularities and time asymmetry (1979) General Relativity, An Einstein Centenary Survey, , edited by S. Hawking and W. Israel. Cambridge: Cambridge University Press | ||
| 504 | |a Petrosky, T., Prigogine, I., The extension of classical dynamics for unstable Hamiltonian systems (1997) Computers and Mathematics with Applications, 34, pp. 1-44 | ||
| 504 | |a Price, H., (1996) Time's Arrow and the Archimedes' Point, , Oxford: Oxford University Press | ||
| 504 | |a Prigogine, I., (1980) From Being to Becoming. Time and Complexity in the Physical Sciences, , New York: W. H. Freeman | ||
| 504 | |a Prigogine, I., George, C., The second law as a selection principle: The microscopic theory of dissipative processes in quantum systems (1983) Proceedings of the National Academy of the Sciences of the United States of America, 80, pp. 4590-4594 | ||
| 504 | |a Sachs, R.G., (1987) The Physics of Time-reversal, , Chicago: University of Chicago Press | ||
| 504 | |a Schäffer, H.H., (1970) Topological Vector Spaces, , New York: Heidelberg | ||
| 504 | |a Titchmarsh, E.C., (1937) Introduction to the Theory of Fourier Integrals, , Oxford: Clarendon Press | ||
| 504 | |a Van Winter, C., Complex dynamical variables for multiparticle systems with analytic interactions. i (1974) Journal of Mathematical Analysis and Applications, 47, pp. 633-670 | ||
| 506 | |2 openaire |e Política editorial | ||
| 520 | 3 | |a The aim of this paper is to analyze time-asymmetric quantum mechanics with respect to the problems of irreversibility and of time's arrow. We begin with arguing that both problems are conceptually different. Then, we show that, contrary to a common opinion, the theory's ability to describe irreversible quantum processes is not a consequence of the semigroup evolution laws expressing the non-time-reversal invariance of the theory. Finally, we argue that time-asymmetric quantum mechanics, either in Prigogine's version or in Bohm's version, does not solve the problem of the arrow of time because it does not supply a substantial and theoretically founded criterion for distinguishing between the two directions of time. |l eng | |
| 536 | |a Detalles de la financiación: Consejo Nacional de Investigaciones Científicas y Técnicas | ||
| 536 | |a Detalles de la financiación: National Research Council | ||
| 536 | |a Detalles de la financiación: Universidad de Buenos Aires | ||
| 536 | |a Detalles de la financiación: Consejería de Educación, Junta de Castilla y León, VA013C05 | ||
| 536 | |a Detalles de la financiación: National Radio Research Agency, RRA | ||
| 536 | |a Detalles de la financiación: DGI BMF2002–3773, DGI BMF 2002–0200 | ||
| 536 | |a Detalles de la financiación: Consejo Nacional de Investigaciones Científicas y Técnicas | ||
| 536 | |a Detalles de la financiación: Fondo para la Investigación Científica y Tecnológica | ||
| 536 | |a Detalles de la financiación: Mario Castagnino is at CONICET—Instituto de Astronomía y Física del Espacio, Argentina; Manuel Gadella is at Universidad de Valladolid, Spain; Olimpia Lombardi is at CONICET-Universidad National de Quimes, Argentina. Correspondence to: Olimpia Lombardi; Email: olimpiafilo@arnet.com.ar | ||
| 536 | |a Detalles de la financiación: We are very grateful to Arno Bohm for his kind hospitality at the University of Texas at Austin, where this paper was conceived. We are also very grateful to the anonymous referees whose comments greatly improved this final version. This paper was partially supported by grants of the Buenos Aires University, the National Research Council (CONICET), the National Research Agency (FONCYT) of Argentina, the Junta de Castilla y León Project VA013C05, and the FEDER-Spanish Ministry of Science and Technology Projects DGI BMF 2002–0200 and DGI BMF2002–3773. | ||
| 593 | |a CONICET, Instituto de Astronomia y Fisica del Espacio, Argentina | ||
| 593 | |a Universidad de Valladolid, Spain | ||
| 593 | |a CONICET, Universidad National de Quimes, Argentina | ||
| 700 | 1 | |a Gadella, M. | |
| 700 | 1 | |a Lombardi, O. | |
| 773 | 0 | |d 2005 |g v. 19 |h pp. 223-243 |k n. 3 |p Int. Stud. Philos. Sci. |x 02698595 |w (AR-BaUEN)CENRE-5343 |t International Studies in the Philosophy of Science | |
| 856 | 4 | 1 | |u https://www.scopus.com/inward/record.uri?eid=2-s2.0-40349115032&doi=10.1080%2f02698590500460806&partnerID=40&md5=cbf8203246efbbf52e036d67090943a2 |x registro |y Registro en Scopus |
| 856 | 4 | 0 | |u https://doi.org/10.1080/02698590500460806 |x doi |y DOI |
| 856 | 4 | 0 | |u https://hdl.handle.net/20.500.12110/paper_02698595_v19_n3_p223_Castagnino |x handle |y Handle |
| 856 | 4 | 0 | |u https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_02698595_v19_n3_p223_Castagnino |x registro |y Registro en la Biblioteca Digital |
| 961 | |a paper_02698595_v19_n3_p223_Castagnino |b paper |c PE | ||
| 962 | |a info:eu-repo/semantics/article |a info:ar-repo/semantics/artículo |b info:eu-repo/semantics/publishedVersion | ||