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(Seminar) Computational methods for the dynamics of the nonlinear Schroedinger/Gross-Pitaevskii equations
2019-06-06     Text Size:  A

CAS Key Laboratory of Theoretical Physics

Institute of Theoretical Physics

Chinese Academy of Sciences

Seminar

Title

题目

Computational methods for the dynamics of the nonlinear Schroedinger/Gross-Pitaevskii equations

Speaker

报告人

Professor Weizhu Bao

Affiliation

所在单位

Department of Mathematics
National University of Singapore

Date

日期

6月6日下午15:00
 

Venue

地点

Room6620,ITP South Building

Abstract

摘要

In this talk, I begin wtih the nonlinear Schroedinger/Gross-Pitaevskii equations (NLSE/GPE) for modeling Bose-Einstein condensation (BEC), nonlinear optics, quantum physics and chemistry, etc., and review some dynamical properties of NLSE/GPE including conserved quantities, dispersion relation, center-of-mass dynamics, soliton solutions and semiclassical limits. Different numerical methods will be presented including finite different time domain (FDTD) methods and time-splitting spectral method, and their error estimates and comparison will be discussed. Extensions to NLSE/GPE with an angular momentum rotation term and/or non-local dipole-dipole interaction as well as multi-component will be presented. Finally, applications to soliton interactions, collapse and explosion of BEC, quantum transport and quantized vortex interaction will be investigated.

Contact Person

所内联系人

易俗
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