Extended Laplace-Runge-Lentz vectors, new family of superintegrable systems and quadratic algebras
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Publication:1732565
DOI10.1016/j.aop.2019.01.009zbMath1409.81056arXiv1809.08401OpenAlexW2891361488MaRDI QIDQ1732565
Zhe Chen, Ian Marquette, Yao-Zhong Zhang
Publication date: 25 March 2019
Published in: Annals of Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1809.08401
Groups and algebras in quantum theory and relations with integrable systems (81R12) Operator algebra methods applied to problems in quantum theory (81R15) Quadratic algebras (but not quadratic Jordan algebras) (17A45)
Related Items (2)
Superintegrable systems from block separation of variables and unified derivation of their quadratic algebras ⋮ Racah algebra R(n) from coalgebraic structures and chains of R(3) substructures
Cites Work
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- Algebraic calculation of the energy eigenvalues for the nondegenerate three-dimensional Kepler-Coulomb potential
- An extended class of orthogonal polynomials defined by a Sturm-Liouville problem
- Classical and quantum superintegrability with applications
- Toward a classification of semidegenerate 3D superintegrable systems
- Exceptional orthogonal polynomials and the Darboux transformation
- Second order superintegrable systems in conformally flat spaces. IV. The classical 3D Stäckel transform and 3D classification theory
- On superintegrable symmetry-breaking potentials in N-dimensional Euclidean space
- Quantum superintegrable system with a novel chain structure of quadratic algebras
- Superintegrability in three-dimensional Euclidean space
- Quantum superintegrability and exact solvability in n dimensions
- Extended Kepler–Coulomb quantum superintegrable systems in three dimensions
- On the Problem of Degeneracy in Quantum Mechanics
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