The Dunkl-Coulomb problem in the plane

DOI10.1016/j.physleta.2015.01.023zbMath1341.37037arXiv1405.5742OpenAlexW2963041959MaRDI QIDQ2630189

Luc Vinet, Andréanne Lapointe, Vincent X. Genest

Publication date: 25 July 2016

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.5742

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10)

Related Items (16)

The Dunkl–Coulomb problem in three-dimensions: energy spectrum, wave functions and h-spherical harmonics ⋮ Exact solutions of the 2D Dunkl–Klein–Gordon equation: The Coulomb potential and the Klein–Gordon oscillator ⋮ Algebra of Dunkl Laplace-Runge-Lenz vector ⋮ Superintegrability on the Dunkl oscillator model in three-dimensional spaces of constant curvature ⋮ SU(1,1) solution for the Dunkl–Coulomb problem in two dimensions and its coherent states ⋮ Ideal Bose gas and blackbody radiation in the Dunkl formalism ⋮ The condensation of ideal Bose gas in a gravitational field in the framework of Dunkl-statistic ⋮ Rationally-extended Dunkl oscillator on the line ⋮ Exact solutions of the generalized Dunkl oscillator in the Cartesian system ⋮ Non-Hermitian inverted harmonic oscillator-type Hamiltonians generated from supersymmetry with reflections ⋮ Algebraic approach for the one-dimensional Dirac–Dunkl oscillator ⋮ Algebraic approach to the Dunkl-Coulomb problem and Dunkl oscillator in arbitrary dimensions ⋮ Exact solution of the relativistic Dunkl oscillator in \((2+1)\) dimensions ⋮ Landau levels for the (2 + 1) Dunkl–Klein–Gordon oscillator ⋮ Superintegrability of the Dunkl–Coulomb problem in three-dimensions ⋮ Coherent states of the one-dimensional Dunkl oscillator for real and complex variables and the Segal–Bargmann transformation of Dunkl-type

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