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<p>In this study, the effect of point-like global monopole topological defects on the energy eigenvalues of the combined Hulthén and Hellmann Potentials has been evaluated. The generalized fractional Nikiforov-Uvarov method is employed to find out the eigensolutions for arbitrary <i>l</i> states by solving the non-relativistic fractional Schrödinger equation. The Greene-Aldrich approximation scheme has been used to handle the centrifugal barrier term. It is observed that, energy eigenvalues of the combined potential are significantly affected by the global effects of the point like global monopole, fractional parameter values, screening parameter and quantum state values considered, in the curved space-time. The values of energy for the Hulthén-Hellmann potential obtained in the Minkowski flat space-time are seen to agree with available results in literature. Our results are also discussed in graphical form extensively.</p>

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Eigensolutions of generalized fractional Schrödinger equation with Hulthén–Hellmann potential and topological defects

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年7月2日

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  • Uduakobong S. Okorie,
  • Ridha Horchani,
  • Haifa I. Alrebdi,
  • Akpan N. Ikot,
  • Gaotsiwe J. Rampho

摘要

In this study, the effect of point-like global monopole topological defects on the energy eigenvalues of the combined Hulthén and Hellmann Potentials has been evaluated. The generalized fractional Nikiforov-Uvarov method is employed to find out the eigensolutions for arbitrary l states by solving the non-relativistic fractional Schrödinger equation. The Greene-Aldrich approximation scheme has been used to handle the centrifugal barrier term. It is observed that, energy eigenvalues of the combined potential are significantly affected by the global effects of the point like global monopole, fractional parameter values, screening parameter and quantum state values considered, in the curved space-time. The values of energy for the Hulthén-Hellmann potential obtained in the Minkowski flat space-time are seen to agree with available results in literature. Our results are also discussed in graphical form extensively.