A dynamic uncertainty principle for Jacobi operators

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:449

Article

Alvarez-Romero, Isaac¹  Teschl, Gerald^2,3 

[1] Norwegian Univ Sci & Technol, Dept Math Sci, NO-7491 Trondheim, Norway

[2] Univ Vienna, Fac Math, Oskar Morgenstern Pl 1, A-1090 Vienna, Austria

[3] Int Erwin Schrodinger Inst Math Phys, Boltzmanngasse 9, A-1090 Vienna, Austria

关键词: Schrodinger equation;    Uncertainty principle;    Jacobi operators;   

DOI  :  10.1016/j.jmaa.2016.12.028

来源: Elsevier

【 摘 要 】

We prove that a solution of the Schrodinger-type equation i partial derivative(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. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

Free