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International Journal of Theoretical Physics

, Volume 32, Issue 10, pp 1675–1690 | Cite as

Logicoalgebraic structures II. Supports in test spaces

  • D. J. Foulis
  • R. J. Greechie
  • G. T. Rüttimann
Article

Abstract

Test spaces are mathematical structures that underlie quantum logics in much the same way that Hilbert space underlies standard quantum logic. In this paper, we give a coherent account of the basic theory of test spaces and show how they provide an infrastructure for the study of quantum logics. IfL is the quantum logic for a physical systemL, then a support inL may be interpreted as the set of all propositions that are possible whenL is in a certain state. We present an analog for test spaces of the notion of a quantum-logical support and launch a study of the classification of supports.

Keywords

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

© Plenum Publishing Corporation 1993

Authors and Affiliations

  • D. J. Foulis
    • 1
  • R. J. Greechie
    • 2
  • G. T. Rüttimann
    • 3
  1. 1.Department of Mathematics and StatisticsUniversity of MassachusettsAmherst
  2. 2.Department of Mathematics and StatisticsLouisiana Tech UniversityRuston
  3. 3.Department of Mathematics and StatisticsUniversity of BerneBerneSwitzerland

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