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05-21微分方程系列讲座【蔡勇勇】

Title:Mathematical theory and numerical methods for Bose-Einstein condensation 
Speaker:蔡勇勇  (北京计算科学研究中心)
Time:2019年5月21日       下午  16:00-17:00
Room:东区管理科研楼  数学科学学院1318室

Abstract:Gross-Pitaevskii equation (GPE), also known as the nonlinear Schroedinger equation (NLSE), is a widely used model in different subjects, such as quantum mechanics, condensed matter physics, nonlinear optics etc. In this talk, we will focus on GPE with applications in Bose-Einstein condensation (BEC). In the talk, I will first review properties of BEC and GPE. After that, we focus on the GPE with dipole-dipole interaction modeling degenerate dipolar quantum gas. The two important issues in the study of BEC, the ground states and the dynamics, will be discussed. Then we will talk about Bogoliubov excitations. Both mathematical results and numerical studies will be presented. 



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