04-25【王永建】五教5302 吴文俊数学重点实验室Dynamical Systems Seminar

发布者:唐慧发布时间:2023-04-24浏览次数:10

报告题目:EXACT MOBILITY EDGES FOR 1D QUASIPERIODIC MODELS


报告人:王永建,北京师范大学


时间:2023年4月25日(周二)下午2:00-3:00


地点:东区第五教学楼5302教室


摘要:Mobility edges (ME), i.e. critical energies which separate absolutely continuous spectrum and purely point spectrum, is an important issue in quantum physics. So far there are two experimentally feasible 1D quasiperiodic models that have been discovered to have exact mobility edge. However, all the theoretical studies have remained at the numerical level. We rigorously prove the existence and give the precise location of the MEs for these models. This report is based on the joint work with X. Xia, J. You, Z. Zheng, and Q. Zhou.