Foundations of Physics

, Volume 24, Issue 10, pp 1353–1369 | Cite as

Quantum, classical and intermediate: An illustrative example

  • Diederik Aerts
  • Thomas Durt
Part III. Invited Papers Dedicated to Constantin Piron

Abstract

We present a model that allows one to build structures that evolve continuously from classical to quantum, and we study the intermediate situations, giving rise to structures that are neither classical nor quantum. We construct the closure structure corresponding to the collection of eigenstate sets of these intermediate situations, and demonstrate how the superposition principle disappears during the transition from quantum to classical. We investigate the validity of the axioms of quantum mechanics for the intermediate situations.

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Copyright information

© Plenum Publishing Corporation 1994

Authors and Affiliations

  • Diederik Aerts
    • 1
  • Thomas Durt
    • 1
  1. 1.Department of Theoretical PhysicsFree University of BrusselsBrusselsBelgium

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