Unitary representations of the hyperfinite Heisenberg group and the logical extension methods in physics

DOI10.1007/BF02228975zbMath0901.22010OpenAlexW181153380MaRDI QIDQ4390948

Izumi Ojima, Masanao Ozawa

Publication date: 17 November 1998

Published in: Open Systems & Information Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02228975

zbMATH Keywords

quantum mechanicsnonstandard analysisquantum physicsSchrödinger representationsBoolean valued analysisParseval's identityhyperfinite Heisenberg grouplogical extension

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10)

Related Items

Hyperfinite-dimensional representations of canonical commutation relation, Infinite-dimensional Categorical Quantum Mechanics, Towards Quantum Field Theory in Categorical Quantum Mechanics, Photon localization revisited, NONSTANDARD REPRESENTATIONS OF THE CANONICAL COMMUTATION RELATIONS, A Unified Scheme of Measurement and Amplification Processes Based on Micro-Macro Duality — Stern-Gerlach Experiment as a Typical Example

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