  The energy spectrum of the Coulomb potential with minimal length commutation
relations $[X_i, P_j] = i\hbar\{\delta_{ij}(1+\beta P^2) + \beta'P_iP_j\}$ is
determined both numerically and perturbatively for arbitrary values of
$\beta'/\beta$ 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.
