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We investigate unique continuation inequalities for solutions of theSchr\"odinger equations associated with special Hermite operators. Our mainresult establishes that if the solution remains small at two distinct timepoints outside sets of finite measure, then the solution also remains smallthroughout the entire space. We also explore analogous results for theHermite-Schr\"odinger equations.

Unique Continuation Inequalities for the Schr\"odinger equations associated with the Special Hermite operators