Excitation and charge transfer cross sections for collisions of proton
s with hydrogen are calculated; by direct solution of the time-depende
nt Schrodinger equation on a three-dimensional Cartesian lattice. The
2s,2p, 3s, 3p, and 3d excitation cross sections and the Is, 2s, 2p, 3s
, 3p, and 3d charge transfer cross sections from the Is ground state a
t 10-, 40-, and 100-keV incident proton energy are found by projecting
a time-evolved wave function onto the lattice target states of hydrog
en. Excitation processes are calculated in the rest frame of the hydro
gen atom, while capture processes are calculated in the rest frame of
the proton. The computed excitation and charge transfer cross sections
are in good agreement with recent experiments and other theoretical r
esults based on coupled-channels methods, [S1050-2947(98)03210-7].