Journal of Applied Mathematics
Volume 2012 (2012), Article ID 757616, 14 pages
Research Article

The Gross-Pitaevskii Model of Spinor BEC

Department of Mathematics, Sichuan University, Chengdu 610064, China

Received 4 December 2011; Accepted 15 February 2012

Academic Editor: Wan-Tong Li

Copyright © 2012 Dongming Yan and Tian Ma. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The Gross-Pitaevskii model of spinor Bose-Einstein condensates is studied. Using the abstract results obtained for infinite-dimensional Hamilton system, we establish the mathematical theory for the model of spinor BEC. Furthermore, three conservative quantities of spinor BEC, that is, the energy, total particle number, and magnetization intensity, are also proved.