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Quantum Logic of Direct-sum Decompositions

June 20, 2017 by admin

The usual quantum logic, beginning with Birkhoff and Von Neumann, was the logic of closed subspaces of a Hilbert space. This paper develops the more general logic of direct-sum decompositions of a vector space. This allows the treatment of measurement of any self-adjoint operators rather than just the projection operators associated with subspaces.

Filed Under: Math Blog, Mathematics, Quantum Mechanics Tagged With: direct-sum decompositions, Partition logic, quantum logic, Quantum Mechanics, quantum mechanics over sets

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