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- W4300696513 abstract "The Dunkl-Coulomb system in the plane is considered. The model is defined in terms of the Dunkl Laplacian, which involves reflection operators, with a $r^{-1}$ potential. The system is shown to be maximally superintegrable and exactly solvable. The spectrum of the Hamiltonian is derived algebraically using a realization of $mathfrak{so}(2,1)$ in terms of Dunkl operators. The symmetry operators generalizing the Runge-Lenz vector are constructed. On eigenspaces of fixed energy, the invariance algebra they generate is seen to correspond to a deformation of $mathfrak{su}(2)$ by reflections. The exact solutions are given as products of Laguerre polynomials and Dunkl harmonics on the circle." @default.
- W4300696513 created "2022-10-04" @default.
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- W4300696513 date "2014-05-22" @default.
- W4300696513 modified "2023-09-24" @default.
- W4300696513 title "The Dunkl-Coulomb problem in the plane" @default.
- W4300696513 doi "https://doi.org/10.48550/arxiv.1405.5742" @default.
- W4300696513 hasPublicationYear "2014" @default.
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