Non-unitary Evolution of Quantum Logics

Sebastian Fortin, Federico Holik, Leonardo Vanni

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

7 Citations (Scopus)

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.
Original languageEnglish
Title of host publicationNon-Hermitian Hamiltonians in Quantum Physics
PublisherSpringer
Pages219-234
Number of pages16
Publication statusPublished - 2016

Bibliographical note

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

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