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International Journal of Theoretical Physics

, Volume 34, Issue 8, pp 1553–1558 | Cite as

Models of the axiomatic theory associated with the lattice of subspaces of a finite-dimensional Hilbert space

  • Othman Q. Malhas
Article
  • 27 Downloads

Abstract

It is shown that we can associate with the latticeL of subspaces of a separable Hilbert space an axiomatic theory in sentential logic that reflects some of the basic properties of the simplest types of experimental reports in quantum mechanics. It is also shown that every collection of mutually nonorthogonal elements ofL determines a model of the axioms and that, if the Hilbert space is finite dimensional, every model is determined this way.

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.

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References

  1. Chang, C., and Keisler, H. (1973).Model Theory, North-Holland, Amsterdam.Google Scholar
  2. Jauch, M. (1964).Foundations of Quantum Mechanics, Addison-Wesley, Reading, Massachusetts.Google Scholar
  3. Mackey, G. W. (1963).Mathematical Foundations of Quantum Mechanics, Benjamin Inc.Google Scholar
  4. Malhas, O. Q. (1987).Journal of Symbolic Logic,52(3), 834.Google Scholar
  5. Malhas, O. Q. (1992).International Journal of Theoretical Physics,31(9), 1699.Google Scholar

Copyright information

© Plenum Publishing Corporation 1995

Authors and Affiliations

  • Othman Q. Malhas
    • 1
  1. 1.Department of MathematicsYarmouk UniversityIrbidJordan

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