Article

**J. Math. Anal. Appl. 449, 580-588 (2017)**[DOI: 10.1016/j.jmaa.2016.12.028]

## A Dynamic Uncertainty Principle for Jacobi Operators

### Isaac Alvarez-Romero and Gerald Teschl

We prove that a solution of the Schrödinger-type equation

*i∂*, where_{t}u= Hu*H*is a Jacobi operator with asymptotically constant coefficients, cannot decay too fast at two different times unless it is trivial.
** MSC2010:** Primary 33C45, 47B36; Secondary 81U99, 81Q05

**Keywords:** *Schrödinger equation, uncertainty principle, Jacobi operators*

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