Ring-like Structures with Unique Symmetric Difference Related to Quantum Logic

نویسندگان

  • Dietmar Dorninger
  • Helmut Länger
  • Maciej Ma̧czyński
چکیده

Ring-like quantum structures generalizing Boolean rings and having the property that the terms corresponding to the two normal forms of the symmetric difference in Boolean algebras coincide are investigated. Subclasses of these structures are algebraically characterized and related to quantum logic. In particular, a physical interpretation of the proposed model following Mackey’s approach to axiomatic quantum mechanics is given.

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تاریخ انتشار 2002