International Journal of Theoretical Physics

, Volume 24, Issue 11, pp 1051–1080 | Cite as

Fundamental principles of quantum theory. II. From a convexity scheme to the DHB theory

  • Pekka J. Lahti
  • Slawomir Bugajski


Some classical and quantum theories are characterized within the convexity approach to probabilistic physical theories. In particular, the structure of the so-called DHB quantum theory will be analyzed. It turns out that the natural generalization of the standard Hubert space quantum mechanics, the operational one, is such a theory. The operational Hilbert space quantum theory will be reconstructed from the (weak) projection postulate and the complementarity principle. This is then used to argue that the DHB quantum theory is identical with the operational Hilbert space quantum theory.


Hilbert Space Field Theory Elementary Particle Quantum Field Theory Quantum Mechanic 
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Copyright information

© Plenum Publishing Corporation 1985

Authors and Affiliations

  • Pekka J. Lahti
    • 1
  • Slawomir Bugajski
    • 2
  1. 1.Department of Physical SciencesUniversity of TurkuTurkuFinland
  2. 2.KatowicePoland

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