Nonlinear Schrodinger Equations for Bose-Einstein Condensates

被引：14
作者：
Galati, Luigi [1 ]
Zheng, Shijun [1 ]
机构：
[1] Georgia So Univ, Dept Math Sci, Statesboro, GA 30460 USA
来源：
NONLINEAR AND MODERN MATHEMATICAL PHYSICS | 2013年 / 1562卷
关键词：
nonlinear Schrodinger equation; BEC; electromagnetic potential; GROSS-PITAEVSKII EQUATION; MAGNETIC-FIELDS; QUADRATIC POTENTIALS; DIFFERENCE SCHEMES; CAUCHY-PROBLEM; CRITICAL NLS; OPERATORS; ATOMS; GAS; SCATTERING;
D O I：
10.1063/1.4828682
中图分类号：
O59 [应用物理学];
学科分类号：
摘要：
The Gross-Pitaevskii equation, or more generally the nonlinear Schrodinger equation, models the Bose-Einstein condensates in a macroscopic gaseous superfluid wave-matter state in ultra-cold temperature. We provide analytical study of the NLS with L-2 initial data in order to understand propagation of the defocusing and focusing waves for the BEC mechanism in the presence of electromagnetic fields. Numerical simulations are performed for the two-dimensional GPE with anisotropic quadratic potentials.
引用
收藏
页码：50 / 64
页数：15
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