A Dynamic Uncertainty Principle for Jacobi Operators

Isaac Alvarez-Romero, Gerald Teschl

Published 2016-08-15Version 1

We prove that a solution of the Schr\"odinger-type equation $\mathrm{i}\partial_t u= Hu$, where $H$ is a Jacobi operator with asymptotically constant coefficients, cannot decay too fast at two different times unless it is trivial.