**数学与系统科学研究院**

**计算数学所学术报告会**

**报告人：**
Prof. Liqun Cao

**报告题目：**

Multi-Scale Asymptotic Expansion for the Schrodinger Equation and the Effective Mass Approximation

**报告摘要：**

In this talk, I first introduce our new theoretical results of homogenization, asymptotic expansion for Schrodinger equation and the effective mass approximation (EMA). It is well-known that , in solid state physics, the most widely used techniques to calculate the electronic levels in nanostructures are the effective mass approximation and its extension the multiband kp method. I shall give a reasonable interpretation why the effective mass approximation is a very powerful tool for calculating the band structures in semiconductor in the vicinity of point, from the mathematical viewpoint.

Second, I would like to discuss some problems about the scale gap between quantum mechanics and classical mechanics, and thermodynamic limits of Thomas-Fermi and Hartree-Fock type models. These questions are, of course, of great mathematical and physical interest.

This talk is based on the joint work with Prof. Jun-Zhi Cui, Prof. Chong-Yu Wang.

**报告时间：**
2006年10月12日(周四) 下午4:00--5:00

**报告地点：**科技综合楼三层311报告厅

欢迎大家参加!