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Quantum Logics with Given Centers and Variable State Spaces

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Abstract

We ask which logics with a given center allowfor enlargements with an arbitrary state space. We showthat these are precisely those logics the center ofwhich possesses a two-valued state and the state space of which is nonempty. This extends theresults of Binder as well as our previous results andsupplements the results of Foulis and Ptak and ofNavara, Ptak, and Rogalewicz. We also comment on some related questions.

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Authors
  1. Mirko Navara
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  2. Pavel Ptak
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Navara, M., Ptak, P. Quantum Logics with Given Centers and Variable State Spaces. International Journal of Theoretical Physics 37, 139–145 (1998). https://doi.org/10.1023/A:1026629726261

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  • DOI: https://doi.org/10.1023/A:1026629726261

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