Generalized uncertainty principle and the Zeeman effect: Relativistic corrections unveiled
In this paper, we calculate the relativistic corrections to the Zeeman effect for hydrogen-like atoms based on the Generalized Uncertainty Principle (GUP). We propose a relativistic GUP algebra using the Stetsko and Tkachuk approximation and incorporate these corrections into the Zeeman effect. In t...
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| Format: | Article |
| Language: | English |
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Elsevier
2025-03-01
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| Series: | Nuclear Physics B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0550321325000276 |
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| author | Gaurav Bhandari S.D. Pathak Manabendra Sharma |
| author_facet | Gaurav Bhandari S.D. Pathak Manabendra Sharma |
| author_sort | Gaurav Bhandari |
| collection | DOAJ |
| description | In this paper, we calculate the relativistic corrections to the Zeeman effect for hydrogen-like atoms based on the Generalized Uncertainty Principle (GUP). We propose a relativistic GUP algebra using the Stetsko and Tkachuk approximation and incorporate these corrections into the Zeeman effect. In the relativistic limit, our results recover previously derived GUP corrections as well as the standard Lande energy shift expression when GUP effects are absent. This work presents a generalized expression that accounts for both relativistic and GUP corrections to the Zeeman effect. |
| format | Article |
| id | doaj-art-fe68806e4d1c49af90e5f0c7433c84f7 |
| institution | Kabale University |
| issn | 0550-3213 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Nuclear Physics B |
| spelling | doaj-art-fe68806e4d1c49af90e5f0c7433c84f72025-02-05T04:31:07ZengElsevierNuclear Physics B0550-32132025-03-011012116817Generalized uncertainty principle and the Zeeman effect: Relativistic corrections unveiledGaurav Bhandari0S.D. Pathak1Manabendra Sharma2Department of Physics, Lovely Professional University, Phagwara, Punjab, 144411, IndiaDepartment of Physics, Lovely Professional University, Phagwara, Punjab, 144411, India; Corresponding author.Centre for Theoretical Physics and Natural Philosophy, Nakhonsawan Studiorum for Advanced Studies, Mahidol University, Nakhonsawan, 60130, ThailandIn this paper, we calculate the relativistic corrections to the Zeeman effect for hydrogen-like atoms based on the Generalized Uncertainty Principle (GUP). We propose a relativistic GUP algebra using the Stetsko and Tkachuk approximation and incorporate these corrections into the Zeeman effect. In the relativistic limit, our results recover previously derived GUP corrections as well as the standard Lande energy shift expression when GUP effects are absent. This work presents a generalized expression that accounts for both relativistic and GUP corrections to the Zeeman effect.http://www.sciencedirect.com/science/article/pii/S0550321325000276 |
| spellingShingle | Gaurav Bhandari S.D. Pathak Manabendra Sharma Generalized uncertainty principle and the Zeeman effect: Relativistic corrections unveiled Nuclear Physics B |
| title | Generalized uncertainty principle and the Zeeman effect: Relativistic corrections unveiled |
| title_full | Generalized uncertainty principle and the Zeeman effect: Relativistic corrections unveiled |
| title_fullStr | Generalized uncertainty principle and the Zeeman effect: Relativistic corrections unveiled |
| title_full_unstemmed | Generalized uncertainty principle and the Zeeman effect: Relativistic corrections unveiled |
| title_short | Generalized uncertainty principle and the Zeeman effect: Relativistic corrections unveiled |
| title_sort | generalized uncertainty principle and the zeeman effect relativistic corrections unveiled |
| url | http://www.sciencedirect.com/science/article/pii/S0550321325000276 |
| work_keys_str_mv | AT gauravbhandari generalizeduncertaintyprincipleandthezeemaneffectrelativisticcorrectionsunveiled AT sdpathak generalizeduncertaintyprincipleandthezeemaneffectrelativisticcorrectionsunveiled AT manabendrasharma generalizeduncertaintyprincipleandthezeemaneffectrelativisticcorrectionsunveiled |