Non-unitary Evolution of Quantum Logics

Sebastian Fortin, Federico Holik, Leonardo Vanni

Onderzoeksoutput: Other chapter contributionResearch

7 Citaten (Scopus)


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.
Originele taal-2English
TitelNon-Hermitian Hamiltonians in Quantum Physics
Aantal pagina's16
StatusPublished - 2016

Bibliografische nota

DOI: 10.1007/978-3-319-31356-614


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