H−ions in the high-magnetic-field limit

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