Exact solution of the relativistic Dunkl oscillator in \((2+1)\) dimensions

DOI10.1016/j.aop.2019.167964zbMath1427.81033arXiv1812.05207OpenAlexW3103393169MaRDI QIDQ2281039

V. D. Granados, D. Ojeda-Guillén, M. Salazar-Ramírez, Roberto D. Mota

Publication date: 19 December 2019

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.05207

zbMATH Keywords

Dirac equationDunkl derivativeDirac-Moshinsky oscillator

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (8)

A representation of the Dunkl oscillator model on curved spaces: Factorization approach ⋮ Exact solutions of the 2D Dunkl–Klein–Gordon equation: The Coulomb potential and the Klein–Gordon oscillator ⋮ Ideal Bose gas and blackbody radiation in the Dunkl formalism ⋮ On the path integral formulation of Wigner–Dunkl quantum mechanics ⋮ The condensation of ideal Bose gas in a gravitational field in the framework of Dunkl-statistic ⋮ Rationally-extended Dunkl oscillator on the line ⋮ Algebraic approach for the one-dimensional Dirac–Dunkl oscillator ⋮ Landau levels for the (2 + 1) Dunkl–Klein–Gordon oscillator

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