English

A Dynamic Uncertainty Principle for Jacobi Operators

Mathematical Physics 2017-02-22 v2 Analysis of PDEs math.MP

Abstract

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

Cite

@article{arxiv.1608.04344,
  title  = {A Dynamic Uncertainty Principle for Jacobi Operators},
  author = {Isaac Alvarez-Romero and Gerald Teschl},
  journal= {arXiv preprint arXiv:1608.04344},
  year   = {2017}
}

Comments

8 pages

R2 v1 2026-06-22T15:20:10.076Z