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In this paper, Morgan type uncertainty principle and unique continuationproperties of abstract Schr\"odinger equations with time dependent potentialsin vector-valued classes are obtained. The equation involves a possible linearoperators considered in the Hilbert spaces. So, by choosing the correspondingspaces H and operators we derived unique continuation properties for numerousclasses of Schr\"odinger type equations and its systems which occur in a widevariety of physical systems

Morgan type uncertainty principle and unique continuation properties for abstract Schr\"odinger equations