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Author

A. Benchikha

2 papers indexed here

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Preprint Oct 2026

Generalized Dunkl Quantum Systems with Energy-Dependent Interactions: Exact Solvability and Thermodynamic Properties

This work investigates a class of exactly solvable quantum systems described by a generalized Dunkl--Schr\"odinger equation with energy-dependent interactions. A two-parameter extension of the Dunkl differential operator is introduced, incorporating both the conventional reflection contribution and an additional deriva...

B. Hamil, R. Boudjouraf, A. Benchikha et al. · 0 citations
Aug 2026

Dunkl-Schrödinger Models with Energy-Dependent Couplings: Exact Solutions and Confinement-Like Spectra

In this paper, we investigate the Dunkl-Schrödinger equation in the presence of energy-dependent potentials. A consistent formulation is developed by deriving modified expressions for the probability density, normalization condition, and scalar product, thereby ensuring the conservation of probability. Exact analytical...

R. Boudjouraf, B. Hamil, A. Benchikha et al. · 0 citations

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