Two-Valued Probability Measure on the Pontryagin Space

dc.contributor.author	Matvejchuk M.
dc.contributor.author	Utkina E.
dc.date.accessioned	2018-09-18T20:04:02Z
dc.date.available	2018-09-18T20:04:02Z
dc.date.issued	2015
dc.identifier.issn	0020-7748
dc.identifier.uri	https://dspace.kpfu.ru/xmlui/handle/net/136179
dc.description.abstract	© 2015, Springer Science+Business Media New York. The well known Kochen-Specker’s theorem is devoted to the problem of hidden variables in quantum mechanics. The Kochen-Specker theorem says: There is no two-valued probability measure on the real Hilbert space of dimension three. In the paper we present an analogy of Kochen-Specker’s theorem in Pontryagin space: A Pontryagin spase H of dimension greater than or equal to three has a two-valued probability measure if and only if H has indefinite rank one: in which case, any such two-valued probability measure on H is unique.
dc.relation.ispartofseries	International Journal of Theoretical Physics
dc.subject	Idempotent
dc.subject	Indefinite metric space
dc.subject	Pontryagin space
dc.subject	Probability measure
dc.subject	Projection
dc.subject	Quantum logic
dc.title	Two-Valued Probability Measure on the Pontryagin Space
dc.type	Article
dc.relation.ispartofseries-issue	12
dc.relation.ispartofseries-volume	54
dc.collection	Публикации сотрудников КФУ
dc.relation.startpage	4570
dc.source.id	SCOPUS00207748-2015-54-12-SID84946474887

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