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Amplitudes on entities

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Abstract

A stochastic model for a quantum system is developed in terms of amplitude densities on an entity. An entity provides an axiomatic description for the set of tests and states of a physical system and an amplitude density gives a means for computing probabilities within this framework. The interference and independence of tests relative to an amplitude density are formulated. Various ways of combining entities and amplitudes are presented. Superpositions of amplitudes and superselection sectors in the amplitude space are considered. Finally, symmetry groups and systems of covariance on an entity are developed.

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Authors and Affiliations

  1. Department of Mathematics and Computer Science, University of Denver, 80208, Denver, Colorado

    Stanley Gudder

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  1. Stanley Gudder
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Gudder, S. Amplitudes on entities. Int J Theor Phys 31, 463–513 (1992). https://doi.org/10.1007/BF00740000

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  • DOI: https://doi.org/10.1007/BF00740000

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