Classical limit of non-integrable systems

Fortín

2011

Int J Theor Phys

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“…Summing up, if we combine eqs. (24) and (27), we obtain the condition on the time-scale that guarantees the approximate cancelling of the terms of R…”

Section: Conditions For the Validity Of The Discrete Analoguementioning

confidence: 96%

Predicting Decoherence in Discrete Models

Fortín

2011

Int J Theor Phys

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“…In previous works we have presented a different approach, called self-induced decoherence (SID), according to which a closed quantum system may decohere under well-defined conditions (Castagnino & Laura, 2000;Castagnino & Ordóñez, 2004;Castagnino & Lombardi, 2004, 2005a. On this basis, we have developed a precise account of the classical limit of quantum mechanics, which shows that, if the system is macroscopic enough, after self-induced decoherence it can be described as a classical-statistical system (Castagnino & Lombardi, 2003, 2005bCastagnino, 2005;Castagnino & Gadella, 2006).…”

Section: Upstairs: the Classical Limit Of Quantum Mechanicsmentioning

confidence: 99%

A modal-Hamiltonian interpretation of quantum mechanics

Lombardi

Studies in History and Philosophy of Science Part B: Studies in

2008

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Given the impressive success of environment-induced decoherence (EID), nowadays no interpretation of quantum mechanics can ignore its results. The modal-Hamiltonian interpretation (MHI) has proved to be effective for solving several interpretative problems but, since its actualization rule applies to closed systems, it seems to stand at odds of EID. The purpose of this paper is to show that this is not the case: the states einselected by the interaction with the environment according to EID (the elements of the "pointer basis") are the eigenvectors of an actualvalued observable belonging to the preferred context selected by the MHI.

“…singular distributions. When this task is undertaken, it can be proved that the function ( ) c ρ φ has the following form (see Castagnino, 2005;Castagnino & Gadella, 2006):…”

Section: The Classical Limitmentioning

confidence: 99%

The role of the Hamiltonian in the interpretation of quantum mechanics

Lombardi

2008

J. Phys.: Conf. Ser.

The aim of this paper is to introduce a new member of the family of the modal interpretations of quantum mechanics. In this modal-Hamiltonian interpretation, the Hamiltonian of the quantum system plays a decisive role in the property-ascription rule that selects the definite-valued observables whose possible values become actual. We show that this interpretation is effective for solving the measurement problem, both in its ideal and its non-ideal versions, and we argue for the physical relevance of the property-ascription rule by applying it to well-known physical situations. Moreover, we explain how this interpretation supplies a description of the elemental categories of the ontology referred to by the theory, where quantum systems turn out to be bundles of possible properties.