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| (Seminar) Computational methods for the dynamics of the nonlinear Schroedinger/Gross-Pitaevskii equations |
| 2019-06-06
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CAS Key Laboratory of Theoretical Physics |
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Institute of Theoretical Physics |
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Chinese Academy of Sciences |
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Seminar |
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Title
题目 |
Computational methods for the dynamics of the nonlinear Schroedinger/Gross-Pitaevskii equations |
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Speaker
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Affiliation
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Department of Mathematics
National University of Singapore | |
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Date
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Venue
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Room6620,ITP South Building |
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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. |
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Contact Person
所内联系人 |
易俗 |
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