Non-unitary Evolution of Quantum Logics

Citation data:

Non-Hermitian Hamiltonians in Quantum Physics, ISSN: 0930-8989, Vol: 184, Page: 219-234

Publication Year:
2016
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Repository URL:
http://philsci-archive.pitt.edu/id/eprint/12903
DOI:
10.1007/978-3-319-31356-6_14
Author(s):
Sebastian Fortin, Federico Holik, Leonardo Vanni
Publisher(s):
Springer Nature
Tags:
Physics and Astronomy
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book chapter description
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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