A Dynamic Uncertainty Principle for Jacobi Operators
  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. 
Isaac Alvarez-Romero and Gerald Teschl
math-ph math.AP math.MP