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International Journal of Theoretical Physics

, Volume 32, Issue 8, pp 1323–1328 | Cite as

Noncommutativity of quantum observables

  • B. Rumbos
Article
  • 33 Downloads

Abstract

Given a quantum logic (L,L), a measure of noncommutativity for the elements ofL was introduced by Román and Rumbos. For the special case whenL is the lattice of closed subspaces of a Hilbert space, the noncommutativity between two atoms ofL was related to the transition probability between their corresponding pure states. Here we generalize this result to the case where one of the elements ofL is not necessarily an atom.

Keywords

Hilbert Space Field Theory Elementary Particle Quantum Field Theory Pure State 
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. Beltrametti, E. G., and Cassinelli, G. (1981).The Logic of Quantum Mechanics, Addison-Wesley, Reading, Massachusetts.Google Scholar
  2. Jauch, J. M. (1973).Foundations of Quantum Mechanics, Addison-Wesley, Reading, Massachusetts.Google Scholar
  3. Maczynski, M. (1981). Commutativity and generalized transition probability in quantum logic,Current Issues in Quantum Logic, E. G. Beltrametti and Bas C. van Fraassen, eds., Plenum Press, New York.Google Scholar
  4. Román, L., and Rumbos, B. (1991).Foundations of Physics,21, 727–734.Google Scholar
  5. Rumbos, B. (1993).International Journal of Theoretical Physics,32, 927–932.Google Scholar

Copyright information

© Plenum Publishing Corporation 1993

Authors and Affiliations

  • B. Rumbos
    • 1
  1. 1.Instituto de MatemáticasCiudad UniversitariaMexico, D.F.

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