报告题目: Lyapunov Exponent and Mobility Edges in Discrete Schrödinger Operators

报告人：夏旭 （中科院数学与系统科学研究院）

时间：2024年3月7日（周四）14：00-15：00

地点：理科楼B203

报告摘要: The spectrum problem, initially addressed by Nobel Prize winner Anderson in 1958 ("The Absence of Diffusion in   Certain Random Lattices," Physical Review), introduced the concept of the mobility edge (ME), collaboratively developed with  Mott.The ME distinguishes the absolutely continuous spectrum from the pure point spectrum and stands as a central challenge in  quantum physics.This report aims to enhance the understanding of Anderson localization,specifically addressing the mobility   edges through Lyapunov exponent analysis.Additionally, we explore mobility edges in non-Hermitian Schrödinger operators.Furthermore, time permitting, we delve into a Schrödinger model rooted in physics,utilizing the Fourier dual approach to analyze systems based on the work of Deng, Ray, Sinha, Shlyapnikov, and Santos (PRL 2019).

邀请人：瞿燕辉