  We establish soliton-like asymptotics for finite energy solutions to the
Schr\"odinger equation coupled to a nonrelativistic classical particle. Any
solution with initial state close to the solitary manifold, converges to a sum
of traveling wave and outgoing free wave. The convergence holds in global
energy norm. The proof uses spectral theory and the symplectic projection onto
solitary manifold in the Hilbert phase space.
