caa a22 4500 467906041 CHVBK 20180406152834.0 cr unu---uuuuu 170328e20060601xx s 000 0 eng 10.1007/s10701-006-9074-8 doi (NATIONALLICENCE)springer-10.1007/s10701-006-9074-8 The Problem of the Classical Limit of Quantum Mechanics and the Role of Self-Induced Decoherence [Elektronische Daten] [Mario Castagnino, Manuel Gadella] Our account of the problem of the classical limit of quantum mechanics involves two elements. The first one is self-induced decoherence, conceived as a process that depends on the own dynamics of a closed quantum system governed by a Hamiltonian with continuous spectrum; the study of decoherence is addressed by means of a formalism used to give meaning to the van Hove states with diagonal singularities. The second element is macroscopicity represented by the limit $$\hbar \rightarrow 0$$ : when the macroscopic limit is applied to the Wigner transformation of the diagonal state resulting from decoherence, the description of the quantum system becomes equivalent to the description of an ensemble of classical trajectories on phase space weighted by their corresponding probabilities. Springer Science+Business Media, Inc., 2006 classical limit nationallicence Riemann-Lebesgue lemma nationallicence decoherence nationallicence Castagnino Mario CONICET-Institutos de Física Rosario y de Astronomía y Física del Espacio, Casilla de Correos 67, Sucursal 28, 1428, Buenos Aires, Argentina aut Gadella Manuel Departamento de Física Teórica, Facultad de Ciencias, Universidad de Valladolid, c. Real de Burgos, s.n., 47011, Valladolid, Spain aut Foundations of Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 36/6(2006-06-01), 920-952 0015-9018 36:6<920 2006 36 10701 https://doi.org/10.1007/s10701-006-9074-8 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10701-006-9074-8 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Castagnino Mario CONICET-Institutos de Física Rosario y de Astronomía y Física del Espacio, Casilla de Correos 67, Sucursal 28, 1428, Buenos Aires, Argentina aut NATIONALLICENCE 700 1- Gadella Manuel Departamento de Física Teórica, Facultad de Ciencias, Universidad de Valladolid, c. Real de Burgos, s.n., 47011, Valladolid, Spain aut NATIONALLICENCE 773 0- Foundations of Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 36/6(2006-06-01), 920-952 0015-9018 36:6<920 2006 36 10701 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer