Dunkl–Duffin–Kemmer–Petiau equation in (2 + 1) dimensions: The Dunkl–Bosonic oscillator spinless under Landau levels and Coulomb potential

2022/04/30 by A. Merad, M. Merad, T. Boudjedaa · 2 citations
Physics and Astronomy · Mathematics · #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #Mathematical Analysis and Transform Methods

paper · doi:10.1142/s0217751x22500725

Abstract

In this paper, we consider two fundamental problems in the framework of the Dunkl derivative: the Bosonic oscillator model of spin 0 under magnetic field: Landau levels and the Duffin–Kemmer–Petiau equation with the Coulomb potential. In both cases, we obtain the exact analytical solutions for the bound states in the general case for the different eigenvalues of the reflection operator.

Citations

• Differential-difference operators associated to reflection groups

Cited by

• Dunkl–Klein–Gordon equation in higher dimensions
• Time-dependent Dunkl–Schrödinger equation with an angular-dependent potential

Related

• Landau levels for the (2+1) Dunkl-Klein-Gordon oscillator
• The Dunkl oscillator on a space of nonconstant curvature: an exactly solvable quantum model with reflections
• (2 +1)-dimensional Duffin-Kemmer-Petiau oscillator under a magnetic field in the presence of a minimal length in the noncommutative space
• The spin-one Duffin-Kemmer-Petiau equation revisited: analytical study of its structure and a careful choice of interaction
• The DKP equation in the Woods-Saxon potential well: Bound states