  The dynamics of Glauber-Fock lattice of size N is given through exact
diagonalization of the corresponding Hamiltonian; the spectra $\{\lambda_{k}\}$
is given as the roots of the $N$-th Hermite polynomial,
$H_{N}(\lambda_k/\sqrt{2})=0$, and the eigenstates are given in terms of
Hermite polynomials evaluated at these roots. The exact dynamics is used to
study coherent phenomena in discrete lattices. Due to the symmetry and spacing
of the eigenvalues $\{\lambda_{k}\}$, oscillatory behavior with highly
localized spectra, that is, near complete revivals of the photon number and
partial recovery of the initial state at given waveguides, is predicted.
