  We investigate two classes of D-branes in 2-d string theory, corresponding to
extended and localized branes, respectively. We compute the string emission
during tachyon condensation and reinterpret the results within the $c=1$ matrix
model. As in hep-th/0304224, we find that the extended branes describe
classical eigenvalue trajectories, while, as found in hep-th/0305159, the
localized branes correspond to the quantum field that creates and destroys
eigenvalues. The matrix model relation between the classical probe and the
local collective field precisely matches with the descent relation between the
boundary states of D-strings and D-particles.
