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Difference posets and the histories approach to quantum theories

Difference posets and the histories approach to quantum theories

JournalInternational Journal of Theoretical Physics
PublisherSpringer Netherlands
ISSN0020-7748 (Print) 1572-9575 (Online)
IssueVolume 34, Number 2 / February, 1995
DOI10.1007/BF00672802
Pages189-210
Subject CollectionPhysics and Astronomy
SpringerLink DateTuesday, December 07, 2004
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Difference posets and the histories approach to quantum theories

Sylvia Pulmannová1

(1) Mathematical Institute, Slovak Academy of Sciences, 814 73 Bratislava, Slovakia

Received: 30 September 1994  

Abstract  Direct limits and tensor products of difference posets are studied. In the spirit of a recent paper by Isham, a potential model for an ldquounsharp historiesrdquo approach to quantum theory based on difference posets as abstract models for the set of effects is considered. It is shown that the set of all histories in this approach has an algebraic structure of a difference poset.
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Referenced by
6 newer articles

  1. Rudolph, Oliver (1999) Temporal quantum theory. Physical Review A 59(2)
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  2. Rudolph, Oliver (1996) On the consistent effect histories approach to quantum mechanics. Journal of Mathematical Physics 37(11)
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  3. Rudolph, Oliver (1997) On tracial operator representations of quantum decoherence functionals. Journal of Mathematical Physics 38(11)
    [CrossRef]
  4. Gudder, Stanley (1998) A histories approach to quantum mechanics. Journal of Mathematical Physics 39(11)
    [CrossRef]
  5. Rudolph, Oliver (1998) Symmetries of history quantum theories and decoherence functionals. Journal of Mathematical Physics 39(11)
    [CrossRef]
  6. Rudolph, Oliver (1996) Consistent histories and operational quantum theory. International Journal of Theoretical Physics 35(8)
    [CrossRef]
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