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International Journal of Theoretical Physics

, Volume 31, Issue 10, pp 1849–1856 | Cite as

Problem of classical and nonclassical probabilities

  • Enrico G. Beltrametti
  • Maciej J. Maczyński
Article

Abstract

A characterization of classical and nonclassical probabilities expressed in terms of some inequalities between multidimensional orS-probability is given. A new criterion (not referring to correlation probabilities) for nonclassicality of the range of a completeS-probability measure on an event system is proposed.

Keywords

Field Theory Elementary Particle Quantum Field Theory Event System Correlation Probability 
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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References

  1. Accardi, L. (1983). The probabilistic roots of the quantum mechanical paradoxes, inThe Wave-Particle Dualism, S. Diner, G. Lochak, and F. Selleri, eds., Reidel, Dordrecht, Holland.Google Scholar
  2. Accardi, L. (1986). Foundations of quantum mechanics: A quantum probabilistic approach, Preprint 17-1986, Dipartimento di Matematica, Università di Roma, Rome.Google Scholar
  3. Beltrametti, E. G., and Maczyński, M. J. (1991). On a characterization of classical and non-classical properties,Journal of Mathematical Physics,32, 1280.Google Scholar
  4. Gudder, S., and Zanghi, N. (1984). Probability models,Nuovo Cimento B,79, 291.Google Scholar
  5. Pitowsky, I. (1989).Quantum Probability-Quantum Logic (Lecture Notes in Physics 321), Springer-Verlag, Berlin.Google Scholar

Copyright information

© Plenum Publishing Corporation 1992

Authors and Affiliations

  • Enrico G. Beltrametti
    • 1
    • 2
  • Maciej J. Maczyński
    • 3
  1. 1.Department of PhysicsGenoa UniversityGenoaItaly
  2. 2.INFNGenoaItaly
  3. 3.Institute of MathematicsTechnical University of WarsawWarsawPoland

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