A dynamic uncertainty principle for Jacobi operators

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• 作者：Isaac Alvarez-Romero^a ; ^{isaac.romero@math.ntnu.no} ; ^{isaacalrom@gmail.com} ; Gerald Teschl^b ; ^c ; ^{Gerald.Teschl@univie.ac.at}
• 关键词：Schrö ; dinger equation ; Uncertainty principle ; Jacobi operators
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2017
• 出版时间：1 May 2017
• 年：2017
• 卷：449
• 期：1
• 页码：580-588
• 全文大小：285 K
• 卷排序：449

文摘

We prove that a solution of the Schrödinger-type equation i∂tu=Hui∂tu=Hu, where H is a Jacobi operator with asymptotically constant coefficients, cannot decay too fast at two different times unless it is trivial.