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Effects of Extended Uncertainty Principle on the Relativistic Coulomb Potential

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arxiv 2008.03807 v1 pith:ULKFSNHV submitted 2020-08-09 quant-ph

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keywords coulombextendedpotentialprinciplerelativisticsitterstudieduncertainty
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The relativistic bound-state energy spectrum and the wavefunctions for the Coulomb potential are studied for de Sitter and anti-de Sitter spaces in the context of the extended uncertainty principle. Klein-Gordon and Dirac equations are solved analytically to obtain the results. The electron energies of hydrogen-like atoms are studied numerically.

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Cited by 1 Pith paper

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  1. Spacetime-curvature induced uncertainty principle: linking the large-structure global effects to the local black hole physics

    gr-qc 2024-11 reject novelty 3.0 of 10

    The authors derive a black hole metric with a cosmological-constant-dependent effective mass and use EHT and VLBI data to put extremely weak bounds on a quantum parameter beta.

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