Erratum: Polynomial Poisson Algebras for Classical Superintegrable Systems with a Third Order Integral of Motion [J. Math. Phys. 48, 012902 (2007)]

DOI10.1063/1.2831929zbMath1153.37402arXivmath-ph/0701065OpenAlexW2013712984MaRDI QIDQ3544598

Ian Marquette, Pavel Winternitz

Publication date: 8 December 2008

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

Full work available at URL: https://arxiv.org/abs/math-ph/0701065

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Poisson algebras (17B63)

Related Items (6)

The Perlick system type I: from the algebra of symmetries to the geometry of the trajectories ⋮ Fourth order superintegrable systems separating in Cartesian coordinates I. Exotic quantum potentials ⋮ Quasi-bi-Hamiltonian structures, complex functions and superintegrability: the Tremblay–Turbiner–Winternitz (TTW) and the Post–Winternitz (PW) systems ⋮ Algebraic approach and exact solutions of superintegrable systems in 2D Darboux spaces ⋮ Superintegrable relativistic systems in spacetime-dependent background fields ⋮ Superintegrability with third order integrals of motion, cubic algebras, and supersymmetric quantum mechanics. II. Painlevé transcendent potentials

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