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Corrections to the ns-levels of hydrogen atom in deformed space with minimal length

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arxiv quant-ph/0703269 v1 pith:ISC3X2EF submitted 2007-03-29 quant-ph

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keywords lengthminimalatomhydrogencorrectionsdeformedestimationobtained
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We investigated the hydrogen atom problem with deformed Heisenberg algebra leading to the existence of minimal length. Using modified perturbation theory developed in our previous work [M. M. Stetsko and V. M. Tkachuk, Phys. Rev. A 74, 012101 (2006)] we calculated the corrections to the arbitrary s-levels for hydrogen atom. We received a simple relation for the estimation of minimal length. We also compared the estimation of minimal length obtained here with the results obtained in the preceding investigations.

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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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