Superintegrability on the two-dimensional hyperboloid. II

DOI10.1063/1.532864zbMath0962.81007arXivquant-ph/9907037OpenAlexW2115807154MaRDI QIDQ4701854

Ernest G. Kalnins, Ye. Hakobyan, George S. Pogosyan, Willard jun. Miller

Publication date: 21 November 1999

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

Full work available at URL: https://arxiv.org/abs/quant-ph/9907037

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Elliptic equations on manifolds, general theory (58J05) Classical hypergeometric functions, ({}_2F_1) (33C05)

Related Items (10)

Klein-Gordon equation with superintegrable systems: Kepler-Coulomb, harmonic oscillator, and hyperboloid ⋮ Integrable systems on a sphere, an ellipsoid and a hyperboloid ⋮ Quantum superintegrable systems with quadratic integrals on a two dimensional manifold ⋮ Recursive procedures for Krall-Sheffer operators ⋮ On Superintegrable Systems with a Cubic Integral of Motion ⋮ Integrable and superintegrable Hamiltonian systems in magnetic fields ⋮ Two-body problem on spaces of constant curvature. II: Spectral properties of the Hamiltonian ⋮ Massless geodesics in \(\text{AdS}_5\times Y(p,q)\) as a superintegrable system ⋮ Comment on “Dynamical systems and Poisson structures” [J. Math. Phys. 50, 112703 (2009)] ⋮ Exact and quasiexact solvability of second-order superintegrable quantum systems: I. Euclidean space preliminaries

Cites Work

• Completely integrable relativistic Hamiltonian systems and separation of variables in Hermitian hyperbolic spaces
• Lie algebras for systems with mixed spectra. I. The scattering Pöschl–Teller potential
• Superintegrability on the two-dimensional hyperboloid
• Lie theory and separation of variables. 4. The groups SO (2,1) and SO (3)
• Superintegrability and associated polynomial solutions: Euclidean space and the sphere in two dimensions

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