Hyperfinite-dimensional representations of canonical commutation relation

DOI10.1063/1.532413zbMath1001.81039arXivquant-ph/9706008OpenAlexW3101334103MaRDI QIDQ4260504

Hideyasu Yamashita

Publication date: 15 December 2002

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

Full work available at URL: https://arxiv.org/abs/quant-ph/9706008

Mathematics Subject Classification ID

Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Other applications of nonstandard models (economics, physics, etc.) (03H10)

Related Items (2)

Pointwise analysis of scalar fields: A nonstandard approach ⋮ NONSTANDARD REPRESENTATIONS OF THE CANONICAL COMMUTATION RELATIONS

Cites Work

• Phase operator problem and macroscopic extension of quantum mechanics
• A nonstandard representation of Feynman’s path integrals
• Compact quantum systems: Internal geometry of relativistic systems
• Simple orthogonal and unitary compact quantum systems and the İnönü–Wigner contraction
• Unitary representations of the hyperfinite Heisenberg group and the logical extension methods in physics
• A Generalized Method of Field Quantization

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