2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/95327The energy spectrum of the Coulomb potential with minimal length commutation relations $[X_i, P_j] = i\hbar\{δ_{ij}(1+βP^2) + β'P_iP_j\}$ is determined both numerically and perturbatively for arbitrary values of $β'/β$ and angular momenta $\ell$. The constraint on the minimal length scale from precision hydrogen spectroscopy data is of order of a few GeV$\null^{-1}$, weaker than previously claimed.4 pages, 3 figures, typos corrected, reference addedHigh Energy Physics - TheoryHydrogen-atom spectrum under a minimal-length hypothesistext