Bound-bound absorption of polarized photons by hydrogen atoms is inves
tigated for conditions expected in atmospheres of strongly magnetized
neutron stars. Thermal motion of atoms across the strong magnetic fiel
d causes striking changes of the binding energies and oscillator stren
gths; these changes then lead to a new type of broadening of spectral
lines. This magnetic broadening exceeds the collisional and Doppler br
oadenings by orders of magnitude, smearing the lines over wide, overla
pping frequency bands. Low-energy components of the resulting spectra
are due to strongly decentered atoms whose electrons are shifted from
the protons by the electric held caused by the motion across-the magne
tic field. The absorption spectra depend significantly on the polariza
tion and direction of radiation with respect to the magnetic field. Th
e bound-bound transitions are expected to determine the spectra and th
e light curves of the soft X-ray/UV thermal-like radiation from middle
-aged cooling neutron stars.