Advertisement

International Journal of Theoretical Physics

, Volume 31, Issue 10, pp 1909–1913 | Cite as

Problem of hidden variables

  • Emilio Santos
Article
  • 46 Downloads

Abstract

The problem of hidden variables in quantum mechanics is formalized as follows. A general or contextual (noncontextual) hidden-variables theory is defined as a mappingf: Q×M → C (f: Q→C) whereQ is the set of projection operators in the appropriate (quantum) Hilbert space,M is the set of maximal Boolean subalgebras ofQ andC is a (classical) Boolean algebra. It is shown that contextual (noncontextual) hidden-variables always exist (do not exist).

Keywords

Hilbert Space Field Theory Elementary Particle Quantum Field Theory Quantum Mechanic 
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.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Bell, J. S. (1965).Physics,1, 195.Google Scholar
  2. Bell, J. S. (1966).Review of Modem Physics,38, 447.Google Scholar
  3. Birkhoff, G., and von Neumann, J. (1936).Annals of Mathematics,37, 823.Google Scholar
  4. Ferrero, M., Marshall, T. W., and Santos, E. (1990).American Journal of Physics,58, 683.Google Scholar
  5. Gleason, A. M. (1957).Journal of Mathematics and Mechanics,6, 885.Google Scholar
  6. Gudder, S. P. (1970).Journal of Mathematical Physics,11, 431.Google Scholar
  7. Jauch, J. M. (1968).Foundations of Quantum Mechanics, Addison-Wesley, Reading, Massachusetts.Google Scholar
  8. Kalmbach, G. (1983).Orthomodular Lattices, Academic Press, London.Google Scholar
  9. Pykacz, J., and Santos, E. (1990).International Journal of Theoretical Physics,29, 1041.Google Scholar
  10. Pykacz, J., and Santos, E. (1991).Journal of Mathematical Physics,32, 1287.Google Scholar
  11. Von Neumann, J. (1955).Mathematical Foundations for Quantum Mechanics, Princeton University Press, Princeton, New Jersey.Google Scholar
  12. Santos, E. (1991).Physical Review Letters,66, 1388.Google Scholar

Copyright information

© Plenum Publishing Corporation 1992

Authors and Affiliations

  • Emilio Santos
    • 1
  1. 1.Departamento de Fisica ModernaUniversidad de CantabriaSantanderSpain

Personalised recommendations