Superintegrable systems with spin induced by co-algebra symmetry

DOI10.1088/1751-8113/47/12/122002zbMath1286.81108arXiv1312.3273OpenAlexW2317744728MaRDI QIDQ5410971

O. Gingras, Danilo Riglioni, Pavel Winternitz

Publication date: 17 April 2014

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

Full work available at URL: https://arxiv.org/abs/1312.3273

zbMATH Keywords

exact solvabilityshape invariancesuperintegrabilityco-algebra symmetry

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Groups and algebras in quantum theory and relations with integrable systems (81R12) Special quantum systems, such as solvable systems (81Q80)

Related Items (7)

Embedding of the Racah algebra \(R(n)\) and superintegrability ⋮ Runge–Lenz vector as a 3d projection of SO(4) moment map in R4×R4 phase space ⋮ Coalgebra symmetry for discrete systems ⋮ Algebraic calculations for spectrum of superintegrable system from exceptional orthogonal polynomials ⋮ From ordinary to discrete quantum mechanics: the Charlier oscillator and its coalgebra symmetry ⋮ Higher Order Quantum Superintegrability: A New “Painlevé Conjecture” ⋮ Racah algebra R(n) from coalgebraic structures and chains of R(3) substructures

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