Hardy type unique continuation properties for abstract Schrödinger equations and applications

In this paper, Hardy’s uncertainty principle and unique continuation properties of Schrödinger equations with operator potentials in Hilbert space-valued L 2 classes are obtained. Since the Hilbert space H and linear operators are arbitrary, by choosing the appropriate spaces and operators we obtain numerous classes of Schrödinger type equations and its finite and infinite many systems which occur in a wide variety of physical systems