Fuzzy σ algebras of physics



Following the idea of Zadeh, the concept of a statistical (or fuzzy)σ algebra is introduced. For two extreme cases of classical and quantum statisticalσ algebras the representation theorems are proved. The basic feature distinguishing these two cases is the possibility of producing nontrivial superpositions of pure quantum states, which is absent in the classical case.


Field Theory Elementary Particle Quantum Field Theory Quantum State Extreme Case 
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Copyright information

© Plenum Publishing Corporation 1985

Authors and Affiliations

  • W. Guz
    • 1
  1. 1.Institute of PhysicsUniversity of GenoaGenoaItaly

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