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Virial Theorem and Elliptic Eigenvalue Calculations on $R^N $

2018-05-25 20:29    
主题:
Virial Theorem and Elliptic Eigenvalue Calculations on $R^N $
时间:
2018-05-28 15:00-15:00
地点:
卫津路校区天津大学6号楼111教室
主讲人:
Zhonghai Ding

主讲人简介

Professor of University of Nevada

演讲内容介绍

      The Virial Theorem is a fundamental property of multiparticle systems in quantum mechanics, and offers an elegant relationship between kinetic and potential energies of quantum states. In this talk, we present two numerical schemes based upon the Virial Theorem, the virial steepest descent and two-point linear extrapolation, to improve the accuracy of such eigenvalue calculations through post-processing eigenvalue data obtained from standard methods. Mathematical analysis of both schemes is presented. Concrete examples are also included and discussed.

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