NONSTANDARD REPRESENTATIONS OF THE CANONICAL COMMUTATION RELATIONS

DOI10.1142/S0129055X00000617zbMath0966.81034MaRDI QIDQ2711621

Hideyasu Yamashita, Masanao Ozawa

Publication date: 21 August 2001

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

zbMATH Keywords

\(\phi^4_2\) modelAraki-Woods representationnonstard analysisrelativistic time zero fieldsSegal representation

Mathematics Subject Classification ID

Applications of functional analysis in quantum physics (46N50) Commutation relations and statistics as related to quantum mechanics (general) (81S05)

Related Items (1)

Towards Quantum Field Theory in Categorical Quantum Mechanics

Cites Work

• Hyperfinite-dimensional representations of canonical commutation relation
• Unitary representations of the hyperfinite Heisenberg group and the logical extension methods in physics
• The nonstandard λ:φ24(x): model. I. The technique of nonstandard analysis in theoretical physics

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