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- W2015308641 abstract "The basic ingredients of the `consistent histories' approach to quantum theory are a space $UP$ of `history propositions' and a space $D$ of `decoherence functionals'. In this article we consider such history quantum theories in the case where $UP$ is given by the set of projectors $P(V)$ on some Hilbert space $V$. Using an analogue of Wigner's Theorem in the context of history quantum theories proven earlier, we develop the notion of a `symmetry of a decoherence functional' and prove that all such symmetries form a group which we call `the symmetry group of a decoherence functional'. We calculate---for the case of history quantum mechanics---some of these symmetries explicitly and relate them to some discussions that have appeared previously." @default.
- W2015308641 created "2016-06-24" @default.
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- W2015308641 date "1997-02-01" @default.
- W2015308641 modified "2023-09-23" @default.
- W2015308641 title "Symmetries of decoherence functionals" @default.
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- W2015308641 doi "https://doi.org/10.1063/1.531889" @default.
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