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The energy level shift of one-electron atom in Anti-(de Sitter) space time

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Abstract

In the present study we consider the Hamiltonian of the Dirac equation in curved space in fermi normal coordinates to first order in the Riemann tensor, including the corrections to the electromagnetic field. Then the energy level shifts by the local curvature for both relativistic and nonrelativistic levels in (Anti-)de Sitter space-time are calculated.

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Acknowledgments

I would like to express special thanks to M. Reza Tanhayi for his useful remarks.

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  1. Department of Physics, Islamic Azad University, Central Tehran Branch, Tehran, Iran

    Sepideh Mirabi

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  1. Sepideh Mirabi
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Correspondence to Sepideh Mirabi.

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Mirabi, S. The energy level shift of one-electron atom in Anti-(de Sitter) space time. Gen Relativ Gravit 45, 2671–2682 (2013). https://doi.org/10.1007/s10714-013-1610-1

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  • DOI: https://doi.org/10.1007/s10714-013-1610-1

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