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Minimal Length Uncertainty Relation and Hydrogen Atom

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arxiv quant-ph/9905033 v1 pith:Z7IU22GC submitted 1999-05-10 quant-ph

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keywords spectrumalgebraapproachatomcalculateenergyfindheisenberg
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We propose a new approach to calculate perturbatively the effects of a particular deformed Heisenberg algebra on energy spectrum. We use this method to calculate the harmonic oscillator spectrum and find that corrections are in agreement with a previous calculation. Then, we apply this approach to obtain the hydrogen atom spectrum and we find that splittings of degenerate energy levels appear. Comparison with experimental data yields an interesting upper bound for the deformation parameter of the Heisenberg algebra.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Macroscopic Black-Hole Remnants in a Nonlocal Field Theory: Towards Hawking Radiation in SFT

    hep-th 2026-06 unverdicted novelty 6.0 of 10

    In a smeared massless scalar on dynamical black hole, outgoing particle number drops to zero after scrambling time due to SFT nonlocality, implying macroscopic remnant.

  2. 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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