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学术报告:Universal Scaling between Ground State and Matrix Elements

来源:4008com云顶集团 发布者:金霞发布时间:2021-01-20浏览次数:10

报告题目:Universal Scaling between Ground State and Matrix Elements

报告人:孙得彦(华东师范大学教授)

报告时间:2021121日(周四)下午1500

报告地点:新能源大楼215会议室

报告人简介:   

       孙得彦,华东师范大学物理系教授,博士生导师。98年获得中科院固体物理所博士学位。2002-2004年美国西北大学材料科学与工程系博士后。曾获得上海市自然科学一等奖(2009, 排名第二)、国家自然科学二等奖(2012,第二完成人)。研究方向为计算凝聚态物理和材料模拟,发表SCI 论文70余篇,被他人引用2500多次,H因子25。曾主持完成国家基金委面上项目、国家基金委重点项、973项目等多项科研项目。

报告简介: 

The diagonalization of matrices may be the top priority in the application of modern physics. In this talk, we will show that, at least for one kind of matrices, a approximate universal scaling relationship between the eigenvector and matrix elements exists. Namely, each element of the eigenvector of ground states strongly correlates with the sum of matrix elements in the corresponding row. The relationship implies a straightforward method to directly calculate the eigenvector of ground states for one kind of matrices. The tests on both Hubbard and ising models show that, this new method works excellently.