Classical limit and quantum logic

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 ex...

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Autores principales: Losada, Marcelo Adrián, Fortin, Sebastian Ezequiel, Holik, Federico Hernán
Formato: Articulo Preprint
Lenguaje:Inglés
Publicado: 2018
Materias:
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/97072
https://ri.conicet.gov.ar/11336/41257
https://link.springer.com/article/10.1007%2Fs10773-017-3579-0
Aporte de:
id I19-R120-10915-97072
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Classical limit
Quantum logics
Algebras
Dynamical logics
spellingShingle Física
Classical limit
Quantum logics
Algebras
Dynamical logics
Losada, Marcelo Adrián
Fortin, Sebastian Ezequiel
Holik, Federico Hernán
Classical limit and quantum logic
topic_facet Física
Classical limit
Quantum logics
Algebras
Dynamical logics
description 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-toclassical 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.
format Articulo
Preprint
author Losada, Marcelo Adrián
Fortin, Sebastian Ezequiel
Holik, Federico Hernán
author_facet Losada, Marcelo Adrián
Fortin, Sebastian Ezequiel
Holik, Federico Hernán
author_sort Losada, Marcelo Adrián
title Classical limit and quantum logic
title_short Classical limit and quantum logic
title_full Classical limit and quantum logic
title_fullStr Classical limit and quantum logic
title_full_unstemmed Classical limit and quantum logic
title_sort classical limit and quantum logic
publishDate 2018
url http://sedici.unlp.edu.ar/handle/10915/97072
https://ri.conicet.gov.ar/11336/41257
https://link.springer.com/article/10.1007%2Fs10773-017-3579-0
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