Global well-posedness for the Gross-Pitaevskii equa- tion with an angular momentum rotational term in three dimensions
نویسندگان
چکیده
In this paper, we establish the global well-posedness of the Cauchy problem for the Gross-Pitaevskii equation with an angular momentum rotational term in which the angular velocity is equal to the isotropic trapping frequency in the space R .
منابع مشابه
Global well-posedness for the Gross-Pitaevskii equation with an angular momentum rotational term
The GPE (1.1) in physical dimensions (2 and 3 dimensions) is used in the meanfield quantum theory of Bose-Einstein condensate (BEC) formed by ultracold bosonic coherent atomic ensembles. Recently, several research groups [9, 12–14] have produced quantized vortices in trapped BECs, and a typical method they used is to impose a laser beam on the magnetic trap to create a harmonic anisotropic rota...
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