中科院数学与系统科学研究院
数学研究所
偏微分方程研讨班
Title: A generalization of generalized Hardy inequality
Speaker:Prof. Li Chen, Tsinghua University
Time:10:30-11:30AM, July 9th, 2013
Place:Room 703, Siyuan Building
Abstract:The excess charge problem, or the ionization problem, asks how many electrons an atom or molecule can bind, which is one of the important topics in the stability of matter in quantum mechanics. We will explain Liebs original proof and show the key inequality, i.e. Liebs inequality, and its relation with quantum mechanicl uncertainty principle (the Hardys inequality). Then show our generalization of this inequality and its application in 2-D graphene case. If time allows, some ideas of the proof will also be proposed. The main tools are the representation of Fractional Laplacian in position space and the Grand State Representation of the desired operator. This is a joint work with Heinz Siedentop from Munich.