On realizations of polynomial algebras with three generators via deformed oscillator algebras

DOI10.1088/1751-8113/47/20/205203zbMath1292.81066arXiv1402.3361OpenAlexW1969386467MaRDI QIDQ4979727

Ian Marquette, Phillip S. Isaac

Publication date: 19 June 2014

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

Full work available at URL: https://arxiv.org/abs/1402.3361

zbMATH Keywords

deformed oscillator algebrasuperintegrabilityoscillator realizationpolynomial Lie algebra

Mathematics Subject Classification ID

Symmetries, invariants of ordinary differential equations (34C14) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Groups and algebras in quantum theory and relations with integrable systems (81R12) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Poisson algebras (17B63) Operator algebra methods applied to problems in quantum theory (81R15) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36) Operator colligations (= nodes), vessels, linear systems, characteristic functions, realizations, etc. (47A48)

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