Experimental vibrational spectra of H-2 in the collision with a proton
at 30 eV in the laboratory frame are compared to results from calcula
tions using the electron nuclear dynamics. Nuclei are treated classica
lly. Interpreting the classical vibration in terms of a coherent state
yields quantum vibrational levels reproducing the experimental result
s. This result indicates that collision dynamics, including vibrationa
l excitation, does not require numerical-grid wave packet dynamics for
an understanding of the fundamental mechanisms involved, but that the
concept of coherent state can provide a simple and accurate method to
resolve product vibrational states from fully dynamical classical tra
jectories.