Title of article
Concepts of measures on ring-like quantum logics
Author/Authors
Dorninger، نويسنده , , Dietmar and L?nger، نويسنده , , Helmut and Ma?czy?ski، نويسنده , , Maciej، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2001
Pages
10
From page
167
To page
176
Abstract
The concepts of Q-valued measures, observables and states are introduced for ring-like quantum logics providing a unified approach to the basic notions of axiomatic quantum mechanics. Consequences of the existence of certain Q-valued measures for the underlying ring-like structures are investigated and the dependence of Q-valued measures on certain algebraic properties of ring-like quantum logics is studied. Moreover, links to the lattice-theoretic model of quantum logics are established.
Keywords
Q-valued measure , Probability measure , state , Observable , 81P10 , generalized Boolean quasiring , involutory antiautomorphism , Bounded lattice
Journal title
Reports on Mathematical Physics
Serial Year
2001
Journal title
Reports on Mathematical Physics
Record number
1585386
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