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“薛定谔算子半经典分析”(研究生短课程)
2018-01-01 12:13  华东师范大学

研究生短课程 Mini-Course for Graduate Students
题目: 薛定谔算子半经典分析Introduction to semi-classical analysis for Schroedinger operators
演讲人:Professor Bernard Helffer (巴黎第11大学)
时间:2008年4月21,22,23,24,25,28日,下午1:00-4:00
地点:4月21,28日(周一) 闵行4#423室
4月22日(周二) 闵行3#228室
4月23日(周三) 闵行3#228室
4月24日(周四) 闵行3#224室
4月25日 (周五) 闵行3#406室
课程简介:The main object is to introduce the students to the techniques permitting to measure the tunneling effect in Quantum mechanics in the limit when the Planck constant h tends to 0.
After some general introduction in semi-classical analysis, we will successively present in order to analyze the lowest eigenvalues of a Schroedinger operator: the harmonic approximation, the Agmon estimates and finally the analysis of the tunneling : we will concentrate the applications to the double well problem, the periodic problem and the Aharonov Bohm effect.Very shortly we can conclude by presenting the analogous results occuring in the semi-classical analysis of Schrodinger operators with magnetic fields.

演讲人简历:1976年巴黎高等工业学院获博士学位。1979起在法国Nantes大学、巴黎第十一大学任教授。在偏微分方程、偏微分算子谱论、半经典分析等领域作出重要贡献。