Fortin, Sebastian and Holik, Federico and Vanni, Leonardo (2016) Non-unitary evolution of quantum logics. [Preprint]

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Abstract

In this work we present a dynamical approach to quantum logics. By changing the standard formalism of quantum mechanics to allow non-Hermitian operators as generators of time evolution, we address the question of how can logics evolve in time. In this way, we describe formally how a non-Boolean algebra may become a Boolean one under certain conditions. We present some simple models which illustrate this transition and develop a new quantum logical formalism based in complex spectral resolutions, a notion that we introduce in order to cope with the temporal aspect of the logical structure of quantum theory.

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Item Type:	Preprint
Creators:	Creators Email ORCID Fortin, Sebastian sfortin@conicet.gov.ar Holik, Federico olentiev2@gmail.com Vanni, Leonardo idaeos@gmail.com
Keywords:	Quantum Logic; Non-unitary Evolution; Decoherence; Classical limit
Subjects:	Specific Sciences > Physics > Quantum Mechanics
Depositing User:	Dr. Sebastian Fortin
Date Deposited:	15 Mar 2017 14:53
Last Modified:	15 Mar 2017 14:53
Item ID:	12903
Official URL:	http://link.springer.com/chapter/10.1007/978-3-319...
DOI or Unique Handle:	10.1007/978-3-319-31356-6_14
Subjects:	Specific Sciences > Physics > Quantum Mechanics
Date:	28 May 2016
URI:	https://philsci-archive.pitt.edu/id/eprint/12903

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