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Open Quantum Systems Decoherence Quantum Simulation

Generalized Uncertainty Principle and the Zeeman Effect: Relativistic Corrections Unveiled

arXiv
Authors: Gaurav Bhandari, S. D. Pathak, Manabendra Sharma

Year

2024

Paper ID

38064

Status

Preprint

Abstract Read

~2 min

Abstract Words

85

Citations

N/A

Abstract

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.

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  • In this paper, we calculate the relativistic corrections to the Zeeman effect for hydrogen-like atoms based on the Generalized Uncertainty Principle (GUP).

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2410.11965 [2] arXiv https://arxiv.org/abs/2410.11965 [3] Publisher https://arxiv.org/abs/2410.11965

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