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A Dynamic Uncertainty Principle for Jacobi Operators

Authors :
Alvarez-Romero, Isaac
Teschl, Gerald
Source :
J. Math. Anal. Appl. 449, 580-588 (2017)
Publication Year :
2016

Abstract

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.<br />Comment: 8 pages

Details

Database :
arXiv
Journal :
J. Math. Anal. Appl. 449, 580-588 (2017)
Publication Type :
Report
Accession number :
edsarx.1608.04344
Document Type :
Working Paper
Full Text :
https://doi.org/10.1016/j.jmaa.2016.12.028