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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2410.11965 |
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| _version_ | 1866913548210274304 |
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| author | Bhandari, Gaurav Pathak, S. D. Sharma, Manabendra |
| author_facet | Bhandari, Gaurav Pathak, S. D. Sharma, Manabendra |
| contents | 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 | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_11965 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Generalized Uncertainty Principle and the Zeeman Effect: Relativistic Corrections Unveiled Bhandari, Gaurav Pathak, S. D. Sharma, Manabendra Quantum Physics High Energy Physics - Phenomenology High Energy Physics - Theory 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. |
| title | Generalized Uncertainty Principle and the Zeeman Effect: Relativistic Corrections Unveiled |
| topic | Quantum Physics High Energy Physics - Phenomenology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2410.11965 |