Invariance properties of the q-oscillator algebra: q-analogue of von Neumann's theorem

DOI10.1088/0305-4470/27/6/028zbMath0834.17030OpenAlexW2065483643MaRDI QIDQ4861957

Masud Chaichian, Yu. S. Vernov, M. N. Mnatsakanova

Publication date: 31 March 1996

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

Full work available at URL: https://doi.org/10.1088/0305-4470/27/6/028

zbMATH Keywords

\(q\)-oscillator algebracentral elementanalogue of von Neumann's theoremnon-unitary transformations with invariance

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50)

Related Items (4)

Integrable representations of the ultra-commutation relations ⋮ Local realizations of \(q\)-oscillators in quantum mechanics ⋮ Regular representations of the \(R\)-deformed Heisenberg algebra ⋮ Properties of the algebra of \(q\)-deformed commutators in indefinite-metric space

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