The singular and the 2:1 anisotropic Dunkl oscillators in the plane

DOI10.1088/1751-8113/46/32/325201zbMath1273.81089arXiv1305.2126OpenAlexW2963163996MaRDI QIDQ2847976

Vincent X. Genest, Alexei Zhedanov, Luc Vinet

Publication date: 25 September 2013

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

Full work available at URL: https://arxiv.org/abs/1305.2126

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) Applications of Lie groups to the sciences; explicit representations (22E70) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Groups and algebras in quantum theory and relations with integrable systems (81R12) Finite-dimensional groups and algebras motivated by physics and their representations (81R05)

Related Items (11)

The Dunkl-Coulomb problem in the plane ⋮ The Dunkl–Coulomb problem in three-dimensions: energy spectrum, wave functions and h-spherical harmonics ⋮ AdS perturbations, isometries, selection rules and the Higgs oscillator ⋮ Superintegrability on the Dunkl oscillator model in three-dimensional spaces of constant curvature ⋮ 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 ⋮ Hidden symmetries of the Higgs oscillator and the conformal algebra ⋮ Two-variable -1 Jacobi polynomials ⋮ Dunkl–Maxwell equation and Dunkl-electrostatics in a spherical coordinate ⋮ Superintegrability of the Dunkl–Coulomb problem in three-dimensions

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