Racah algebra R(n) from coalgebraic structures and chains of R(3) substructures (Q5877787)

scientific article; zbMATH DE number 7654317

Language	Label	Description	Also known as
English	Racah algebra R(n) from coalgebraic structures and chains of R(3) substructures	scientific article; zbMATH DE number 7654317

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instance of

scholarly article

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title

Racah algebra R(n) from coalgebraic structures and chains of R(3) substructures (English)

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Journal of Physics A: Mathematical and Theoretical

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publication date

16 February 2023

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full work available at URL

https://arxiv.org/abs/2105.02562

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zbMATH Keywords

superintegrable systems

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quadratic algebras

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coalgebra symmetry

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Racah algebras

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MaRDI profile type

MaRDI publication profile

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cites work

Classical and quantum superintegrability with applications

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Superintegrable generalizations of the Kepler and Hook problems

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Quadratic algebra structure and spectrum of a new superintegrable system inN-dimension

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Recurrence approach and higher rank cubic algebras for theN-dimensional superintegrable systems

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A new family ofNdimensional superintegrable double singular oscillators and quadratic algebraQ(3) ⨁so(n)⨁so(N-n)

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Superintegrable systems from block separation of variables and unified derivation of their quadratic algebras

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Extended Laplace-Runge-Lentz vectors, new family of superintegrable systems and quadratic algebras

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Second-order superintegrable systems in conformally flat spaces. I. Two-dimensional classical structure theory

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Second order superintegrable systems in conformally flat spaces. II. The classical two-dimensional Stäckel transform

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Second order superintegrable systems in conformally flat spaces. III. Three-dimensional classical structure theory

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Second order superintegrable systems in conformally flat spaces. IV. The classical 3D Stäckel transform and 3D classification theory

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Second-order superintegrable systems in conformally flat spaces. V. Two- and three-dimensional quantum systems

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Contractions of 2D 2nd order quantum superintegrable systems and the Askey scheme for hypergeometric orthogonal polynomials

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A higher rank Racah algebra and the $\mathbb{Z}_2^n$ Laplace–Dunkl operator

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The generic quantum superintegrable system on the sphere and Racah operators

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Racah problems for the oscillator algebra, the Lie algebra $\mathfrak{sl}_n$, and multivariate Krawtchouk polynomials

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Embedding of the Racah algebra $R(n)$ and superintegrability

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Group theory of the Smorodinsky–Winternitz system

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Q4674118

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A new superintegrable Hamiltonian

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Maximal superintegrability of the generalized Kepler–Coulomb system onN-dimensional curved spaces

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Algebraic calculation of the energy eigenvalues for the nondegenerate three-dimensional Kepler-Coulomb potential

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$N$-dimensional classical integrable systems from Hopf algebras

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A systematic construction of completely integrable Hamiltonians from coalgebras

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Universal integrals for superintegrable systems on N-dimensional spaces of constant curvature

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A maximally superintegrable system on an $n$-dimensional space of nonconstant curvature

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N-dimensional superintegrable systems from symplectic realizations of Lie coalgebras

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Quantum mechanics on spaces of nonconstant curvature: the oscillator problem and superintegrability

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Superintegrability on $N$-dimensional curved spaces: central potentials, centrifugal terms and monopoles

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Quantum integrals from coalgebra structure

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Superintegrable systems with spin induced by co-algebra symmetry

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From ordinary to discrete quantum mechanics: the Charlier oscillator and its coalgebra symmetry

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Universal chain structure of quadratic algebras for superintegrable systems with coalgebra symmetry

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Quantum superintegrable system with a novel chain structure of quadratic algebras

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The general Racah algebra as the symmetry algebra of generic systems on pseudo-spheres

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A discrete realization of the higher rank Racah algebra

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Identifiers

DOI

10.1088/1751-8121/ac1ee8

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5877787