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.
Dongming Yan. Tian Ma. "The Gross-Pitaevskii Model of Spinor BEC." J. Appl. Math. 2012 1 - 14, 2012. https://doi.org/10.1155/2012/757616