Abstract
The general aim of this paper is to supply a method to decide whether a discrete system decoheres or not, and under what conditions decoherence occurs, with no need of appealing to computer simulations to obtain the time evolution of the reduced state. In particular, a lemma is presented as the core of the method.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
Zeh, H.D.: Found. Phys. 1, 69 (1970)
Zeh, H.D.: Found. Phys. 3, 109 (1973)
Zurek, W.H.: Phys. Rev. D 26, 1862 (1982)
Zurek, W.H.: Prog. Theor. Phys. 89, 281 (1993)
Paz, J.P.: In: Heiss, D. (ed.) Lecture Notes in Physics, vol. 587. Springer, Heidelberg (2002)
Zurek, W.H.: Rev. Mod. Phys. 75, 715 (2003)
Diosi, L.: Phys. Lett. A 120, 377 (1987)
Diosi, L.: Phys. Rev. A 40, 1165 (1989)
Milburn, G.J.: Phys. Rev. A 44, 5401 (1991)
Penrose, R.: Shadows of the Mind. Oxford University Press, Oxford (1995)
Casati, G., Chirikov, B.: Phys. Rev. Lett. 75, 349 (1995)
Casati, G., Chirikov, B.: Physica D 86, 220 (1995)
Adler, S.: Quantum Theory as an Emergent Phenomenon. Cambridge University Press, Cambridge (2004)
Bonifacio, R., Olivares, S., Tombesi, P., Vitali, D.: Phys. Rev. A 61, 053802 (2000)
Ford, G.W., O’Connell, R.F.: Phys. Lett. A 286, 87 (2001)
Frasca, M.: Phys. Lett. A 308, 135 (2003)
Sicardi Shifino, A.C., Abal, G., Siri, R., Romanelli, A., Donangelo, R.: arXiv:quant-ph/0308162 (2003)
Castagnino, M.: Int. J. Theor. Phys. 38, 1333 (1999)
Castagnino, M., Laura, R.: Phys. Rev. A 62, 022107 (2000)
Castagnino, M., Laura, R.: Int. J. Theor. Phys. 39, 1767 (2000)
Castagnino, M., Lombardi, O.: Int. J. Theor. Phys. 42, 1281 (2003)
Castagnino, M.: Physica A 335, 511 (2004)
Castagnino, M., Ordoñez, A.: Int. J. Theor. Phys. 43, 695 (2004)
Castagnino, M.: Braz. J. Phys. 35, 375 (2005)
Castagnino, M., Lombardi, O.: Phys. Rev. A 72, 012102 (2005)
Castagnino, M., Lombardi, O.: Philos. Sci. 72, 764 (2005)
Castagnino, M.: Phys. Lett. A 357, 97 (2006)
Castagnino, M., Gadella, M.: Found. Phys. 36, 920 (2006)
Castagnino, M., Lombardi, O.: Chaos Solitons Fractals 28, 879 (2006)
Castagnino, M., Fortin, S., Laura, R., Lombardi, O.: Class. Quantum Gravity 25, 154002 (2008)
Castagnino, M., Fortin, S., Lombardi, O.: J. Phys. A, Math. Theor. 43, 065304 (2010)
Castagnino, M., Fortin, S., Lombardi, O.: Mod. Phys. Lett. A 25, 1431 (2010)
Omnès, R.: arXiv:quant-ph/0106006 (2001)
Omnès, R.: Phys. Rev. A 65, 052119 (2002)
Benatti, F., Floreanini, R. (eds.): Lecture Notes in Physics, vol. 622. Springer, Berlin (2003)
Antoniou, I.E., Suchenecki, Z., Laura, R., Tasaki, S.: Physica A 241, 737 (1997)
Gaioli, F., García-Álvarez, E., Guevara, J.: Int. J. Theor. Phys. 36, 2167 (1997)
Bochner, S., Chandrasekharan, K.: Fourier Transforms. Princeton University Press, London (1949)
Oran Brigham, E.: The Fast Fourier Transform and its Applications. Prentice-Hall, Englewood Cliffs (1988)
Press, W., Teukolsky, J., Vetterling, E., Flanery, B.: Numerical Recipes in Fortran. Cambridge University Press, Cambridge (1994)
Kauppinen, J., Partanen, J.: Fourier Transforms in Spectroscopy. Wiley-VCH, Berlin (2001)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Castagnino, M., Fortin, S. Predicting Decoherence in Discrete Models. Int J Theor Phys 50, 2259–2267 (2011). https://doi.org/10.1007/s10773-011-0726-x
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10773-011-0726-x