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Orthogonal Measures on State Spaces and Context Structure of Quantum Theory

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dc.contributor.author Hamhalter J.
dc.contributor.author Turilova E.
dc.date.accessioned 2018-09-19T20:12:14Z
dc.date.available 2018-09-19T20:12:14Z
dc.date.issued 2016
dc.identifier.issn 0020-7748
dc.identifier.uri https://dspace.kpfu.ru/xmlui/handle/net/142685
dc.description.abstract © 2016, Springer Science+Business Media New York.An interplay between recent topos theoretic approach and standard convex theoretic approach to quantum theory is discovered. Combining new results on isomorphisms of posets of all abelian subalgebras of von Neumann algebras with classical Tomita’s theorem from state space Choquet theory, we show that order isomorphisms between the sets of orthogonal measures (resp. finitely supported orthogonal measures) on state spaces endowed with the Choquet order are given by Jordan ∗-isomorphims between corresponding operator algebras. It provides new complete Jordan invariants for σ-finite von Neumann algebras in terms of decompositions of states and shows that one can recover physical system from associated structure of convex decompositions (discrete or continuous) of a fixed state.
dc.relation.ispartofseries International Journal of Theoretical Physics
dc.subject Classical subsystem
dc.subject Decomposition of states
dc.subject Operator algebras
dc.title Orthogonal Measures on State Spaces and Context Structure of Quantum Theory
dc.type Article
dc.relation.ispartofseries-issue 7
dc.relation.ispartofseries-volume 55
dc.collection Публикации сотрудников КФУ
dc.relation.startpage 3353
dc.source.id SCOPUS00207748-2016-55-7-SID84960102516


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  • Публикации сотрудников КФУ Scopus [24551]
    Коллекция содержит публикации сотрудников Казанского федерального (до 2010 года Казанского государственного) университета, проиндексированные в БД Scopus, начиная с 1970г.

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