  Recently a linearized perturbation theory has been formulated for soliton
sectors of quantum field theories. While it is more economical than alternative
formalisms, such as collective coordinates, it is currently limited to solitons
which stay close to a base point, about which the theory is linearized. As a
result, so far this formalism has only been applied to stationary solitons. In
spite of this limitation, we construct kink states with fixed nonzero momenta
and also moving, normalizable kink wave packets. The former are
nonnormalizable, coherent superpositions of kinks at all spatial positions and
are simultaneous eigenstates of the Hamiltonian and the momentum operator. The
latter are localized about a single, moving classical solution. To understand
the wave packets, we calculate several simple matrix elements.
