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Two-Valued Probability Measure on the Pontryagin Space.(Report)

Matvejchuk, Marjan ; Utkina, Elena

International Journal of Theoretical Physics, 2015, Vol.54(12), p.4570(6) [Periódico revisado por pares]

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  • Título:
    Two-Valued Probability Measure on the Pontryagin Space.(Report)
  • Autor: Matvejchuk, Marjan ; Utkina, Elena
  • Assuntos: Quantum Mechanics
  • É parte de: International Journal of Theoretical Physics, 2015, Vol.54(12), p.4570(6)
  • Descrição: Byline: Marjan Matvejchuk (1), Elena Utkina (1) Keywords: Indefinite metric space; Pontryagin space; Quantum logic; Idempotent; Projection; Probability measure Abstract: 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. Author Affiliation: (1) Kazan Federal University, Kazan, Russia Article History: Registration Date: 10/06/2015 Received Date: 11/10/2014 Accepted Date: 10/06/2015 Online Date: 30/06/2015
  • Idioma: Inglês

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