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Non-unitary evolution of quantum logics

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


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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
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:
DOI or Unique Handle: 10.1007/978-3-319-31356-6_14
Subjects: Specific Sciences > Physics > Quantum Mechanics
Date: 28 May 2016

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