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<p>This study presents an analytical investigation of the Schrödinger equation modified by the Dunkl derivative, focusing on two distinct potential forms: the Morse potential and the inverse Morse potential. For each case, explicit expressions for the energy spectrum and the associated wavefunctions are derived. The spectral characteristics are graphically illustrated to compare the influence of both potentials on quantum states. The inverse Morse potential, in particular, is examined for its contrasting confinement properties relative to the standard Morse potential. A comparative analysis is conducted within both generalized and classical spatial frameworks. The paper concludes with a discussion on the physical relevance and potential applications of the obtained results in quantum systems governed by such potential landscapes.</p>

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Dunkl-Schrödinger Equation with Morse and Inverse Morse Potentials

  • 期刊论文

  • 发表日期：

    2025年11月5日

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  • M’hamed HADJ MOUSSA

摘要

This study presents an analytical investigation of the Schrödinger equation modified by the Dunkl derivative, focusing on two distinct potential forms: the Morse potential and the inverse Morse potential. For each case, explicit expressions for the energy spectrum and the associated wavefunctions are derived. The spectral characteristics are graphically illustrated to compare the influence of both potentials on quantum states. The inverse Morse potential, in particular, is examined for its contrasting confinement properties relative to the standard Morse potential. A comparative analysis is conducted within both generalized and classical spatial frameworks. The paper concludes with a discussion on the physical relevance and potential applications of the obtained results in quantum systems governed by such potential landscapes.