Quantum stochastic models

Foundations of Physics 22 (6):839-852 (1992)
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Abstract

Quantum stochastic models are developed within the framework of a measure entity. An entity is a structure that describes the tests and states of a physical system. A measure entity endows each test with a measure and equips certain sets of states as measurable spaces. A stochastic model consists of measurable realvalued function on the set of states, called a generalized action, together with measures on the measurable state spaces. This structure is then employed to compute quantum probabilities of test outcomes. We characterize those measure entities that are isomorphic to a quantum probability space. We also show that stochastic models provide a phase space description of quantum mechanics and a realistic model of spin

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Realism, operationalism, and quantum mechanics.D. Foulis, C. Piron & C. Randall - 1983 - Foundations of Physics 13 (8):813-841.
Coupled physical systems.David J. Foulis - 1989 - Foundations of Physics 19 (7):905-922.
Realism in quantum mechanics.Stanley Gudder - 1989 - Foundations of Physics 19 (8):949-970.
Quantum probability and operational statistics.Stanley Gudder - 1990 - Foundations of Physics 20 (5):499-527.

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