We propose a cosmological model which could explain, in a very natural way,
the apparently periodic structures of the universe, as revealed in a serie
s of recent observations. Our point of view is to reduce the cosmological F
riedman-Einstein dynamical system to a sort of Schrodinger equation whose b
ound eigensolutions are oscillating functions. Taking into account the cosm
ological expansion, the large scale periodic structure could be easily reco
vered considering the amplitudes and the correlation lengths of the galaxy
clusters.