Quantum measure and integration theory

DOI10.1063/1.3267867zbMath1373.81020arXiv0909.2203OpenAlexW3099506888MaRDI QIDQ3583755

Stanley P. Gudder

Publication date: 17 August 2010

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0909.2203

zbMATH Keywords

bounded monotone convergence theorem for quantum integralsquantum-Lebesgue integralreview of quantum measure spaces

Mathematics Subject Classification ID

Applications of functional analysis in quantum physics (46N50) Vector-valued measures and integration (46G10) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10)

Related Items (14)

Super quantum measures on effect algebras with the Riesz decomposition properties ⋮ Search for quantum reality ⋮ Super quantum measures on finite spaces ⋮ Quantum measures and the coevent interpretation ⋮ Extended minimal atomicity through nondifferentiability: a mathematical-physical approach ⋮ The universe and the quantum computer ⋮ Quantum measures and integrals ⋮ Distinguishing initial state-vectors from each other in histories formulations and the PBR argument ⋮ Unnamed Item ⋮ Two-site quantum random walk ⋮ Quantum measures on finite effect algebras with the Riesz decomposition properties ⋮ Hilbert space representations of decoherence functionals and quantum measures ⋮ Examples of quantum integrals ⋮ Quantum integrals and anhomomorphic logics

Cites Work

• QUANTUM MECHANICS AS QUANTUM MEASURE THEORY
• Quantum dynamics without the wavefunction
• Dynamical wavefunction collapse models in quantum measure theory
• Dynamics and predictions in the co-event interpretation
• SOME IDENTITIES FOR THE QUANTUM MEASURE AND ITS GENERALIZATIONS

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