郝成春的个人主页 | Chengchun HAO's Homepage

研究员、博士生导师，中国科学院数学与系统科学研究院 数学研究所 | Professor, Institute of Mathematics, AMSS, CAS

**中科院数学与系统科学研究院**

**数学研究所**

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**偏微分方程研讨班**

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#### 题目/Title: A generalization of generalized Hardy inequality

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.

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