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We propose a cosmological model which could explain, in a very natural way,the apparently periodic structures of the universe, as revealed in a series ofrecent observations. Our point of view is to reduce the cosmologicalFriedman--Einstein dynamical system to a sort of Schr\"odinger equation whosebound eigensolutions are oscillating functions. Taking into account thecosmological expansion, the large scale periodic structure could be easilyrecovered considering the amplitudes and the correlation lengths of the galaxyclusters.Comment: 12 pages, Latex, submitted to Int. Jou. of Theor. Phy

OSCILLATING UNIVERSE AS EIGENSOLUTIONS OF COSMOLOGICAL SCHRÖDINGER EQUATION