Eigensolutions of generalized fractional Schrödinger equation with Hulthén–Hellmann potential and topological defects
Abstract 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 s...
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| Format: | Article |
| Language: | English |
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Nature Portfolio
2025-07-01
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| Series: | Scientific Reports |
| Online Access: | https://doi.org/10.1038/s41598-025-07761-5 |
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| author | Uduakobong S. Okorie Ridha Horchani Haifa I. Alrebdi Akpan N. Ikot Gaotsiwe J. Rampho |
| author_facet | Uduakobong S. Okorie Ridha Horchani Haifa I. Alrebdi Akpan N. Ikot Gaotsiwe J. Rampho |
| author_sort | Uduakobong S. Okorie |
| collection | DOAJ |
| description | Abstract 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. |
| format | Article |
| id | doaj-art-b9fdddbc3a4947f7933e482d73500226 |
| institution | Kabale University |
| issn | 2045-2322 |
| language | English |
| publishDate | 2025-07-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Scientific Reports |
| spelling | doaj-art-b9fdddbc3a4947f7933e482d735002262025-08-20T03:45:35ZengNature PortfolioScientific Reports2045-23222025-07-0115111410.1038/s41598-025-07761-5Eigensolutions of generalized fractional Schrödinger equation with Hulthén–Hellmann potential and topological defectsUduakobong S. Okorie0Ridha Horchani1Haifa I. Alrebdi2Akpan N. Ikot3Gaotsiwe J. Rampho4Department of Physics, University of South AfricaDepartment of Physics, College of Science, Sultan Qaboos UniversityDepartment of Physics, College of Science, Princess Nourah bint Abdulrahman UniversityTheoretical Physics Group, Department of Physics, University of Port HarcourtDepartment of Physics, University of South AfricaAbstract 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.https://doi.org/10.1038/s41598-025-07761-5 |
| spellingShingle | Uduakobong S. Okorie Ridha Horchani Haifa I. Alrebdi Akpan N. Ikot Gaotsiwe J. Rampho Eigensolutions of generalized fractional Schrödinger equation with Hulthén–Hellmann potential and topological defects Scientific Reports |
| title | Eigensolutions of generalized fractional Schrödinger equation with Hulthén–Hellmann potential and topological defects |
| title_full | Eigensolutions of generalized fractional Schrödinger equation with Hulthén–Hellmann potential and topological defects |
| title_fullStr | Eigensolutions of generalized fractional Schrödinger equation with Hulthén–Hellmann potential and topological defects |
| title_full_unstemmed | Eigensolutions of generalized fractional Schrödinger equation with Hulthén–Hellmann potential and topological defects |
| title_short | Eigensolutions of generalized fractional Schrödinger equation with Hulthén–Hellmann potential and topological defects |
| title_sort | eigensolutions of generalized fractional schrodinger equation with hulthen hellmann potential and topological defects |
| url | https://doi.org/10.1038/s41598-025-07761-5 |
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