ON QUANTUM LOGIC APPROACH TO QUANTUM MECHANICS

A quantum logic structure for quantum mechanics which contains the concepts of a physical space, localizability, and symmetry groups is formulated. It is shown that there is an underlying Hilbert space which mirrors much of this axiomatic structure. Quantum fields are defined and shown to arise naturally from the quantum logic structure. The fields of Haag and Wightman are generalized to this theory and an attempt is made to find a local equivalence for these fields. © 1969 Springer-Verlag.