Foundations of Physics

, Volume 5, Issue 2, pp 323–342 | Cite as

Reconstruction theorems in quantum mechanics

  • P. C. Zabey


Given a physical system, one knows that there is a logical duality between its properties and its states. In this paper, we choose its states as the undefined notions of our axiomatic construction. In fact, by means of well-motivated assumptions expressed in terms of a transition probability function defined on the set of all pure states of the system, we construct a system of elementary propositions, i.e., a complete orthomodular atomic lattice satisfying the covering law. We also study in this framework the important notion of compatibility of propositions, and we define the superpositions and the mixtures of the states of the physical system.


Quantum Mechanic Physical System Probability Function Pure State Atomic Lattice 
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Copyright information

© Plenum Publishing Corporation 1975

Authors and Affiliations

  • P. C. Zabey
    • 1
  1. 1.Départment de Physique ThéoriqueUniversity of GenevaGenevaSwitzerland

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