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Classical limit and quantum logic

Losada, Marcelo and Fortin, Sebastian and Holik, Federico (2017) Classical limit and quantum logic. In: UNSPECIFIED.

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Abstract

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.


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Item Type: Conference or Workshop Item (UNSPECIFIED)
Creators:
CreatorsEmailORCID
Losada, Marcelomarcelolosada@yahoo.com
Fortin, Sebastiansfortin@conicet.gov.ar
Holik, Federicoolentiev2@gmail.com
Keywords: QUANTUM LOGIC; BOOLEAN LOGIC; CLASSICAL LIMIT; DECOHERENCE; NON HERMITIAN OPERATORS
Subjects: Specific Sciences > Physics > Quantum Mechanics
Depositing User: Dr. Sebastian Fortin
Date Deposited: 25 Oct 2017 13:47
Last Modified: 25 Oct 2017 13:47
Item ID: 14053
Subjects: Specific Sciences > Physics > Quantum Mechanics
Date: October 2017
URI: https://philsci-archive-dev.library.pitt.edu/id/eprint/14053

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