Generalized Dunkl-Schrodinger equations: solvable cases, point transformations, and position-dependent mass systems

2022/07/12 by Axel Schulze-Halberg, Axel Schulze‐Halberg · 5 citations
Physics and Astronomy · #Quantum Mechanics and Non-Hermitian Physics #Nonlinear Waves and Solitons #Nonlinear Photonic Systems

paper · doi:10.1088/1402-4896/ac807a

Abstract

Abstract We devise a method for constructing solvable cases of generalized linear Dunkl-Schrödinger equations by means of suitable point transformations. The quantum-mechanical framework pertaining to such equations is discussed, and the particular case of a position-dependent mass scenario is analyzed.

Citations

• Differential-difference operators associated to reflection groups

Cited by

• Dunkl-Schrödinger equation in higher dimensions
• Bound, Scattering, and Resonance States of the Symmetric Woods--Saxon Potential in Dunkl Quantum Mechanic
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• Time-dependent Dunkl–Schrödinger equation with an angular-dependent potential
• Exact Solutions of the Schrödinger-Dunkl Equation for a Free Particle in a Finite and Infinite Cylindrical Well

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