Minimal Length Uncertainty Relation and Hydrogen Atom

Details Minimal Length Uncertainty Relation and Hydrogen Atom Minimal Length Uncertainty Relation and Hydrogen Atom

1999-05-10

arxiv.org/abs/quant-ph/9905033v1

J.Phys.A32:7691-7696,1999

Physics

Quantum Physics

7 pages, REVTeX

Scientific paper

10.1088/0305-4470/32/44/308

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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