Quantum-Like Representation of Macroscopic Configurations

  • Andrei Khrennikov
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5494)


The aim of this paper is to use a contextual probabilistic model (in the spirit of Mackey, Gudder, Ballentine) to represent and to generalize some results of quantum logic on macroscopic quantum-like (QL) behaviour. The crucial point is that our model provides the QL-representation of macroscopic configurations in terms of complex probability amplitudes – wave functions of such configurations. Thus, instead of the language of propositions which is common in quantum logic, we use the language of wave functions which common in the conventional presentation of QM.


Contextual probabilistic model complex Hilbert space hyperbolic Hilbert space quantum-like representation 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • Andrei Khrennikov
    • 1
  1. 1.International Center for Mathematical Modeling in Physics and Cognitive SciencesUniversity of VäxjöSweden

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