Non-unitary evolution of quantum logics

In F. Bagarello, R. Passante & C. Trapani (eds.), Non-Hermitian Hamiltonians in Quantum Physics. Springer Proceedings in Physics, vol 184. Springer, Cham. pp. 219-234 (2016)
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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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Citations of this work

Classical limit and quantum logic.Marcelo Losada, Sebastian Fortin & Federico Holik - 2018 - International Journal of Theoretical Physics 57:465–475.

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