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科学研究
RESEARCH
[INS COLLOQUIUM] Wave Localization and its Landscape
时间  Datetime
2020-04-11 09:30 — 10:30
地点  Venue
Zoom APP()
报告人  Speaker
Douglas Arnold
单位  Affiliation
University of Minnesota
邀请人  Host
朱佳俊
备注  remarks
Conference ID: 955-626-784 PIN Code: 667844
报告摘要  Abstract

The puzzling phenomenon of wave localization refers to unexpected confinement of waves triggered by disorder in the propagating media. Localization arises in many physical and mathematical systems and has many important implications and applications. It is closely associated with Philip Anderson (1923-2020) who received the Nobel prize in 1977 for his 1958 discovery of localization of the eigenfunctions of the Schrödinger equation with a random potential, a process which dramatically affects the electrical properties of materials disordered by impurities. Despite this long history, many aspects of localization remain mysterious even today. In particular, the sort of deterministic quantitative results needed to predict, control, and exploit localization have remained elusive. This talk will focus on major strides made in recent years based on the introduction of the landscape function and its partner, the effective potential. We will describe these developments from the viewpoint of a computational mathematician who sees the landscape theory as a completely unorthodox sort of a numerical method for computing spectra.