Quartic Poisson algebras and quartic associative algebras and realizations as deformed oscillator algebras
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Publication:5407580
DOI10.1063/1.4816086zbMath1284.81156arXiv1304.7059OpenAlexW2138751661MaRDI QIDQ5407580
Publication date: 7 April 2014
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1304.7059
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Groups and algebras in quantum theory and relations with integrable systems (81R12) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Lie bialgebras; Lie coalgebras (17B62) Operator algebra methods applied to problems in quantum theory (81R15)
Related Items (9)
Universal chain structure of quadratic algebras for superintegrable systems with coalgebra symmetry ⋮ Construction of polynomial algebras from intermediate Casimir invariants of Lie algebras ⋮ Combined state-adding and state-deleting approaches to type III multi-step rationally extended potentials: Applications to ladder operators and superintegrability ⋮ The Perlick system type I: from the algebra of symmetries to the geometry of the trajectories ⋮ Algebraic approach and exact solutions of superintegrable systems in 2D Darboux spaces ⋮ Tridiagonalization and the Heun equation ⋮ Algebraic calculations for spectrum of superintegrable system from exceptional orthogonal polynomials ⋮ The global extension problem, crossed products and co-flag non-commutative Poisson algebras ⋮ Deformed oscillator algebra approach of some quantum superintegrable Lissajous systems on the sphere and of their rational extensions
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