Superintegrable quantum u(3) systems and higher rank factorizations
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Publication:3441765
DOI10.1063/1.2191360zbMath1111.81084arXivmath-ph/0601067OpenAlexW3100456162WikidataQ114104193 ScholiaQ114104193MaRDI QIDQ3441765
Juan A. Calzada, Mariano A. del Olmo, Javier Negro
Publication date: 16 May 2007
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math-ph/0601067
Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Groups and algebras in quantum theory and relations with integrable systems (81R12)
Related Items (10)
The quantum harmonic oscillator on the sphere and the hyperbolic plane ⋮ Non-Hermitian superintegrable systems ⋮ Groups, Jacobi functions, and rigged Hilbert spaces ⋮ Intertwining symmetry algebras of quantum superintegrable systems on constant curvature spaces ⋮ The harmonic oscillator on three-dimensional spherical and hyperbolic spaces: Curvature dependent formalism and quantization ⋮ The quantum free particle on spherical and hyperbolic spaces: A curvature dependent approach ⋮ The quantum free particle on spherical and hyperbolic spaces: A curvature dependent approach. II ⋮ The general Racah algebra as the symmetry algebra of generic systems on pseudo-spheres ⋮ Polynomial algebras from su(3) and a quadratically superintegrable model on the two sphere ⋮ Algebraic (super-)integrability from commutants of subalgebras in universal enveloping algebras
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