H - ions in the high-magnetic-field limit

Results of variational calculations of the energies of the lowest-lying ${M}_{L}=0,\ensuremath{-}1$, and -2 levels of ${\mathrm{H}}^{\ensuremath{-}}$ ions (or ${\mathrm{D}}^{\ensuremath{-}}$ ions in direct-gap semiconductors) are presented for magnetic fields in which the cyclotron energy of the electron, $\ensuremath{\hbar}{\ensuremath{\omega}}_{c}$, is much greater than the hydrogen-atom rydberg $\mathcal{R}$. Substantial increases in calculated binding energies are obtained for the ${M}_{L}=0 \mathrm{and} \ensuremath{-}1$ levels relative to previous estimates; high-field energies for the ${M}_{L}=\ensuremath{-}2$ level have not been reported previously.