On the consistent effect histories approach to quantum mechanics

Journal Article · Fri Nov 01 04:00:00 EST 1996 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.531709· OSTI ID:388186

Rudolph, O ^[1]

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1. II. Institut fuer Theoretische Physik, Universitaet Hamburg, Luruper Chaussee 149, D-22761 Hamburg (Germany)

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 {open_quote}{open_quote}history{close_quote}{close_quote} is generalized to the notion of {open_quote}{open_quote}effect history.{close_quote}{close_quote} The space of effect histories carries the structure of a {ital 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. Omn{grave e}s{close_quote} 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. {copyright} {ital 1996 American Institute of Physics.}

• OSTI ID: 388186
• Journal Information: Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 11 Vol. 37; ISSN JMAPAQ; ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
FUNCTIONALS
HIDDEN VARIABLES
HILBERT SPACE
OBSERVABLES
QUANTUM LOGICS
QUANTUM MECHANICS
QUANTUM OPERATORS