On the Consistent Effect Histories Approach to Quantum Mechanics

Details On the Consistent Effect Histories Approach to Quantum Mechanics On the Consistent Effect Histories Approach to Quantum Mechanics

1996-05-28

arxiv.org/abs/quant-ph/9605037v2

J.Math.Phys. 37 (1996) 5368-5379

Physics

Quantum Physics

LaTeX 2.09 version replaced by LaTeX2e version, minor changes

Scientific paper

10.1063/1.531709

A formulation of the consistent histories approach to quantum mechanics in terms of generalized observables (POV measures) and effect operators is provided. The usual notion of `history' is generalized to the notion of `effect history'. The space of effect histories carries the structure of a D-poset. Recent results of J.D. Maitland Wright imply that every decoherence functional defined for ordinary histories can be uniquely extended to a bi-additive decoherence functional on the space of effect histories. Omnes' logical interpretation is generalized to the present context. The result of this work considerably generalizes and simplifies the earlier formulation of the consistent effect histories approach to quantum mechanics communicated in a previous work of this author.

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