  Absorption of infrared and visible radiation from stellar emission spectra by
the negatively charged hydrogen ions H$^{-}$ is considered. The explicit
formula for the photodetachment cross-section of the negatively charged
hydrogen ion(s) is derived. Photodetachemnt cross-sections of the
${}^{\infty}$H$^{-}$, ${}^{3}$H$^{-}$ (or T$^{-}$), ${}^{2}$H$^{-}$ (or
D$^{-}$) and ${}^{1}$H$^{-}$ ions are determined to high accuracy and for a
large number of photo-electron momenta/energies. We introduce criteria which
can be used to evaluate the overall quality of highly accurate wave functions
of the hydrogen ion(s). One of these criteria is based on highly accurate
calculations of the lowest order QED corrections in the negatively charged
hydrogen ions, including ${}^{1}$H$^{-}$ (protium), ${}^{2}$H$^{-}$
(deuterium), ${}^{3}$H$^{-}$ (tritium) and model ion with the infinitely heavy
nucleus ${}^{\infty}$H$^{-}$. An effective approach has been developed to
calculate three-body integrals with the Bessel functions of different orders.
Some preliminary evaluations of the phototdetachment cross-sections of the
negatively charged hydrogen ions are performed. Inverse bremsstrahlung in the
field of the neutral hydrogen atom is briefly discussed.
