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Perturbation hydrogen-atom spectrum in deformed space with minimal length

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arxiv quant-ph/0603042 v1 pith:AKC5NRBZ submitted 2006-03-06 quant-ph

M.M. Stetsko , V.M. Tkachuk This is my paper · ORCID
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keywords lengthminimalhydrogenatomdeformedperturbationspectrumalgebra
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abstract

We study energy spectrum for hydrogen atom with deformed Heisenberg algebra leading to minimal length. We develop correct perturbation theory free of divergences. It gives a possibility to calculate analytically in the 3D case the corrections to $s$-levels of hydrogen atom caused by the minimal length. Comparing our result with experimental data from precision hydrogen spectroscopy an upper bound for the minimal length is obtained.

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  1. Deformed algebraic structure of angular momenta: GUP perspective

    gr-qc 2024-11 reject novelty 3.0 of 10

    The paper derives GUP-modified angular momentum and hydrogen energy shifts, but the central commutator step is mathematically unjustified.

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