Title: An Index Theory for Zero Energy Solutions of the Planar Anisotropic Kepler Problem
Speaker: Guowei Yu（University of Paris-Dauphine/Paris Observatory）
Time: 3:30-4:30PM, August 31 (周四), 2017; 工商楼 200-9
Abstract: The planar anisotropic Kepler problem describes the motion of an electron in a semiconductor by an impurity of the donor type. In this talk, we give a complete classification of the zero energy solutions of this problem under some non-degenerate condition. A method is also developed to compute the Morse index of a zero energy solution. In particular an interesting connecting between the Morse index and the oscillating behavior of these solutions is established. This is a joint work with Xijun Hu.