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