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    学术报告 Working Seminar in Dynamical Systems: The Rotation Number for the Schr\"odinger 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)
    时????????间:2020年7月14日(周二) 上午 9:00-10:00
    地????????点:腾讯会议号:543 926 740
    主办单位:应用数学系
    联系人:吴伟胜
    联系方式:

    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 the measure is absolutely continuous and establish the rotation number in this setting.


    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亚博的网站多少,入选数学院“陈景润未来之星”人才计划,研究方向为常微分方程与动力系统。曾在美国、意大利、法国、中国台湾等科研机构进行学术访问亚博的网站多少。在国际权威数学期刊发表论文多篇,包括Nonlinearity, JDE, DCDS, AHP, PAMS等杂志。

     

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