Results 1 to 10 of about 102 (60)

How dynamics constrains probabilities in general probabilistic theories [PDF]

open access: yesQuantum, 2021
We introduce a general framework for analysing general probabilistic theories, which emphasises the distinction between the dynamical and probabilistic structures of a system.
Thomas D. Galley, Lluis Masanes
doaj   +1 more source

Pure Maps between Euclidean Jordan Algebras [PDF]

open access: yesElectronic Proceedings in Theoretical Computer Science, 2019
We propose a definition of purity for positive linear maps between Euclidean Jordan Algebras (EJA) that generalizes the notion of purity for quantum systems.
Abraham Westerbaan   +2 more
doaj   +1 more source

Models of the universe based on Jordan algebras

open access: yesNuclear Physics B, 2020
We propose a model for the universe based on Jordan algebras. The action consists of cubic terms with coefficients being the structure constants of a Jordan algebra.
J. Ambjørn, Y. Watabiki
doaj   +1 more source

Structure theory for noncommutative Jordan H∗-algebras

open access: yesJournal of Algebra, 1987
The theory of associative Hilbert algebras as developed in [\textit{W. Ambrose}, Trans. Am. Math. Soc. 57, 364-386 (1945; Zbl 0060.269)] has been extended to various classes of nonassociative algebras, among them Jordan algebras, cf. [\textit{C. Viola Devapakkiam}, Math. Proc. Camb. Philos. Soc. 78, 293-300 (1975; Zbl 0357.17015) and with \textit{P. S.
Mira, JoséAntonio Cuenca   +1 more
openaire   +2 more sources

Structure Theory for Real Noncommutative Jordan H*-Algebras

open access: yesJournal of Algebra, 1994
An \(H^*\)-algebra is an algebra defined on a real or complex Hilbert space, with inner product \((\cdot|\cdot)\), together with an involution \(*\) such that \((xy| z)= (y| x^* z)=(x| zy^*)\). This paper is devoted to the study of the real noncommutative Jordan \(H^*\)-algebras. The complex case was dealt with by \textit{J. A.
Mira, J.A.C., Sanchez, A.S.
openaire   +2 more sources

SUBJECT «NUMBER SYSTEMS» IN TWO-LEVELED FORMAT PREPARATION TEACHERS OF MATHEMATICS

open access: yesОбразование и наука, 2017
The aim of this article is to analyze the format of a two-leveled training – bachelor and master – future teachers of mathematics from the point of view of the content of mathematical material, which is to develop prospective teachers of mathematics at ...
V. I. Igoshin
doaj   +1 more source

Conditional Probability, Three-Slit Experiments, and the Jordan Algebra Structure of Quantum Mechanics

open access: yesAdvances in Mathematical Physics, 2012
Most quantum logics do not allow for a reasonable calculus of conditional probability. However, those ones which do so provide a very general and rich mathematical structure, including classical probabilities, quantum mechanics, and Jordan algebras. This
Gerd Niestegge
doaj   +1 more source

Higher Polynomial Identities for Mutations of Associative Algebras. [PDF]

open access: yesResults Math, 2023
Bremner MR, Brox J, Sánchez-Ortega J.
europepmc   +1 more source

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