Consistent histories and operational quantum theory |
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Authors: | Oliver Rudolph |
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Institution: | 1. II. Institut für Theoretische Physik, Universit?t Hamburg, D-22761, Hamburg, Germany
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Abstract: | In this work a generalization of the consistent histories approach to quantum mechanics is presented. We first critically
review the consistent histories approach to nonrelativistic quantum mechanics in a mathematically rigorous way and give some
general comments about it. We investigate to what extent the consistent histories scheme is compatible with the results of
the operational formulation of quantum mechanics. According to the operational approach, nonrelativistic quantum mechanics
is most generally formulated in terms of effects, states, and operations. We formulate a generalized consistent histories
theory using the concepts and the terminology which have proven useful in the operational formulation of quantum mechanics.
The logical rule of the logical interpretation of quantum mechanics is generalized to the present context. The algebraic structure
of the generalized theory is studied in detail. |
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Keywords: | |
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