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中科院数学与系统科学研究院副研究员周喆应邀来我院进行学术讲座

发布人:日期:2019年11月06日 10:16浏览数:


学术报告通知

报告题目:The Rotation Number for the Schrodinger Operator with Almost Periodic Measures: Absolutely Continuous Case

报告人:周喆 副研究员(中科院数学与系统科学研究院)

报告时间:2019年11月10日上午9:20-10:20

报告地点:工程设计学院306

数学统计学院

                                   2019.11.6

 

报告摘要:The Schr\"odinger equation describes the wave function of a quantum-mechanical system. To understand the long-term behavior of solutions, the spectral analysis of the Schr\"odinger operator is the key point. In the seminal work [Johnson and Moser, CMP, 1982], the authors used the rotation number approach to determine the spectrum of the one-dimensional almost-periodic Schr\"odinger operator. In this talk, we will consider the Schr\"odinger operator with almost periodic measures. As a first step, we will consider a special case that measures are absolutely continuous and establish the rotation number in this setting. The essential elements in the proof are positive homogeneity and almost periodicity.

 

 

报告人简介:周喆博士,中科院数学与系统科学研究院副研究员,数学院“陈景润未来之星”,研究方向为常微分方程与动力系统。在国际权威数学期刊发表论文多篇,包括JDE, Nonlinearity, DCDS, AHP, PAMS等杂志。

 

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