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Convergence of the Planewave Approximations for Quantum Incommensurate Systems

发布时间:2022-10-11 浏览量:43

时   间:  2022-10-11 16:00 — 17:00

地   点:  腾讯会议 APP3()
报告人:  陈华杰
单   位:  北京师范大学
邀请人:  徐振礼
备   注:  腾讯会议号:704967113 密码:373822
报告摘要:  

This work studies the spectrum distribution of incommensurate Schrödinger operators. We characterize the density of states for the incommensurate system and develop novel numerical methods to approximate them. In particular, we (i) justify the thermodynamic limit of the density of states in the real space formulation; and (ii) propose efficient numerical schemes to evaluate the density of states based on planewave approximations and reciprocal space sampling. We present both rigorous analysis and numerical simulations to support the reliability and efficiency of our numerical algorithms.