# N-dimensional Smorodinsky–Winternitz model and related higher rank quadratic algebra SW(N)

@article{Correa2021NdimensionalSM, title={N-dimensional Smorodinsky–Winternitz model and related higher rank quadratic algebra SW(N)}, author={Francisco Correa and Md Fazlul Hoque and Ian Marquette and Yao-Z Zhang}, journal={Journal of Physics A: Mathematical and Theoretical}, year={2021}, volume={54} }

The N-dimensional Smorodinsky–Winternitz system is a maximally superintegrable and exactly solvable model, being subject of study from different approaches. The model has been demonstrated to be multiseparable with wavefunctions given by Laguerre and Jacobi polynomials. In this paper we present the complete symmetry algebra SW(N) of the system, which it is a higher-rank quadratic one containing the recently discovered Racah algebra R(N) as subalgebra. The substructures of distinct quadratic Q(3… Expand

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