Abstract
In this paper we will present the self-induced approach to decoherence, which does not require the interaction between the system and the environment: decoherence in closed quantum systems is possible. This fact has relevant consequences in cosmology, where the aim is to explain the emergence of classicality in the universe conceived as a closed (noninteracting) quantum system. In particular, we will show that the self-induced approach may be used for describing the evolution of a closed quantum universe, whose classical behavior arises as a result of decoherence.
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REFERENCES
Antoniou, I., Suchanecki, Z., Laura, R., and Tasaki, S. (1997). Physica Status Solidi A: Applied Research 241, 737.
Arbó, D., Castagnino, M., Gaioli, F., and Iguri, S. (2000). Physica Status Solidi A: Applied Research 277, 469. [quant-ph/0000541].
Belanger, A. and Thomas, G. F. (1990). Canadian Journal of Mathematics 42, 410.
Bohm, A. (1986). Quantum Mechanics, Foundations and Applications, Springer-Verlag, Berlin, Germany.
Calzetta, E. A., Hu, B. L., and Mazzitelli, F. D. (2001). Physics Reports 352, 459.
Castagnino, M. (1998). Physical Review D: Particles and Fields 57, 750.
Castagnino, M., Gaioli, F., and Gunzig, E. (1996). Foundations Cos. Physics 16, 221.
Castagnino, M., Gunzig, E., and Lombardo, F. (1995). General Relativity and Gravitation 27, 257.
Castagnino, M. and Laura, R. (1997). Physical Review A 56, 108.
Castagnino, M. and Laura, R. (2000a). International Journal of Theoretical Physics 39, 1737.
Castagnino, M. and Laura, R. (2000b). Physical Review A 62, #022107.
Castagnino, M. and Lombardo, F. (1996). General Relativity and Gravitation 28, 263.
Castagnino, M. and Ordoñez, A. (manuscript submitted for publication). Journal of Physics A: Mathematical and General.
Halliwell, J. and Zouppas, A. (1995). Physical Review D: Particles and Fields 52, 7294.
Hartle, J. (1985). In High energy physics, 1985. Proceedings of the Yale Summer School, N. J. Bowik and F. Gursey, eds., World Scientific, Singapore.
Hillary, M., O'Connell, R., Scaully, M., and Wigner, E. (1984). Physics Reports 106, 123.
Iguri, S. and Castagnino, M. (1999). International Journal of Theoretical Physics 38, 143.
Laura, R. and Castagnino, M. (1998a). Physical Review A 57, 4140.
Laura, R. and Castagnino, M. (1998b). Physical Review E 57, 3948.
Parravicini, G., Gorini, V. and Sudarshan, E. C. G. (1980). Journal of Mathematial Physics 21, 2208.
Paz, J. P. and Sinha, S. (1991). Physical Review D: Particles and Fields 44, 1038.
Paz, J. P. and Zurek, W. H. (2000). LANL. Preprint quant-ph/0010011.
Polarky, D. and Starobinsky, A. A. (1996). Classical and Quantum Gravity 13, 377.
Treves, A. (1967). Topological Vector Spaces, Distributions and Kernels, Academic Press, New York.
van Hove, L. (1955). Physica 21, 901.
Wigner, E. P. (1932). Physical Review 40, 749.
Zeh, D. (1970). Foundations of Physics 1, 69.
Zurek, W. H. (1991). Physics Today, 44, 36.
Zurek, W. H. (1994). In Physical Origins of Time Asymmetry, J. J. Halliwell, J. Pérez-Mercader, and W. H. Zurek, eds., Cambridge University Press, Cambridge, UK.
Zurek, W. H. (1998). LANL. Preprint quant-ph/9805065.
Zurek, W. H. (2001). LANL. Preprint quant-ph/0105127.
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Castagnino, M., Lombardi, O. The Self-Induced Approach to Decoherence in Cosmology. International Journal of Theoretical Physics 42, 1281–1299 (2003). https://doi.org/10.1023/A:1025710700176
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DOI: https://doi.org/10.1023/A:1025710700176