We present a quantum description for the evolution of atomic states of fast
projectiles traveling through matter. Our approach is based on the solutio
n of a quantum Langevin equation, i.e., a stochastic time-dependent Schrodi
nger equation that describes electronic excitations of atoms during their t
ransport through solids. The present description can be considered the quan
tized version of a previously developed classical transport theory. We anal
yze in detail the correspondence between classical and quantum transport si
mulations. Applications to the stripping of relativistic H- and H through t
hin carbon foils and a comparison with experimental data are presented. [S1
050-2947(99)00308-X].