Non-unitary Evolution of Quantum Logics

  • Sebastian FortinEmail author
  • Federico Holik
  • Leonardo Vanni
Conference paper
Part of the Springer Proceedings in Physics book series (SPPHY, volume 184)


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.


Quantum Mechanic Projection Operator Classical Limit Adjoint Operator Quantum Logic 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  • Sebastian Fortin
    • 1
    Email author
  • Federico Holik
    • 2
  • Leonardo Vanni
    • 1
  1. 1.CONICET - Department of Physics, Universidad de Buenos AiresBuenos AiresArgentina
  2. 2.Instituto de Física La Plata, CONICET & Departamento de Física, UNLPLa PlataArgentina

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