Lowest Landau excited states of a hydrogen atom in magnetic fields up to 4.7 ×1012gauss

Autoionization widths and energies of the lowest-lying Landau excited states of a hydrogen atom in strong magnetic fields are calculated for azimuthal quantum numbers $\mathrm{}\left|m\right|=0,1\mathrm{}$, and $2$. For fields ranging from below ${10}^9$ G, where these states lie close to the ionization threshold, up to 4.7 × ${10}^{12}$ G, the width of the lowest autoionizing state in each $m$ subspace is, to within the accuracy of the calculation, inversely proportional to the fourth root of the field strength. A comparison with radiative widths is made.