  We construct the systems of generalised coherent states for the discrete and
continuous spectra of the hydrogen atom. These systems are expressed in
elementary functions and are invariant under the $SO(3, 2)$ (discrete spectrum)
and $SO(4, 1)$ (continuous spectrum) subgroups of the dynamical symmetry group
$SO(4, 2)$ of the hydrogen atom. Both systems of coherent states are particular
cases of the kernel of integral operator which interwines irreducible
representations of the $SO(4, 2)$ group.
