Classical Limit and Quantum Logic

Marcelo Losada, Sebastian Fortin, Federico Holik

Onderzoeksoutput: Articlepeer review

8 Citaten (Scopus)

Samenvatting

The analysis of the classical limit of quantum mechanics usually focuses on the state of the system. The general idea is to explain the disappearance of the interference terms of quantum states appealing to the decoherence process induced by the environment. However, in these approaches it is not explained how the structure of quantum properties becomes classical. In this paper, we consider the classical limit from a different perspective. We consider the set of properties of a quantum system and we study the quantum-to-classical transition of its logical structure. The aim is to open the door to a new study based on dynamical logics, that is, logics that change over time. In particular, we appeal to the notion of hybrid logics to describe semiclassical systems. Moreover, we consider systems with many characteristic decoherence times, whose sublattices of properties become distributive at different times.

Originele taal-2English
Pagina's (van-tot)465-475
Aantal pagina's11
TijdschriftInternational Journal of Theoretical Physics
Volume57
Nummer van het tijdschrift2
DOI's
StatusPublished - 1 feb 2018

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