التفاصيل البيبلوغرافية
| العنوان: |
Legendre 配置谱方法求解 Bose-Einstein 凝聚态的基态解. (Chinese) |
| Alternate Title: |
The Legendre Collocation Spectral Method for the Ground State Solutions of the Bose-Einstein Condensates. (English) |
| المؤلفون: |
刘文杰, 王汉权 |
| المصدر: |
Applied Mathematics & Mechanics (1000-0887); Jun2023, Vol. 44 Issue 6, p719-730, 12p |
| مصطلحات موضوعية: |
BOSE-Einstein condensation, EXTREME value theory, DATA analysis, NUMERICAL calculations, ACHIEVEMENT, COLLOCATION methods |
| Abstract (English): |
In recent years, a series of important achievements have been made in the experimental study of the ground state solutions of the Bose Einstein condensates. First, the ground state solution problem of the Bose Einstein condensate was converted into the extreme value problem of energy functional with the dimensionless method. In the discretization of the energy functional, the Legendre collocation spectral method was used in the 1D and 2D cases. Second, the energy functional minimum problem was numerically simulated. The analyses of the experimental data and graphs show that, the Legendre collocation spectral method is applicable to the ground state solution of the non-rotating Bose Einstein condensate, and the errors of the numerical results are very small. [ABSTRACT FROM AUTHOR] |
| Abstract (Chinese): |
近年来, 有关 Bose-Einstein 凝聚态基态解的实验研究已经取得了-系列重要的成果. 该文在相关研究成果的基础上, 首先通过降维和无量纲化方法将 Bose-Einstein 凝聚态基态解问题转换成能量泛函极值问题, 在离散该泛函时, 尝试使用 Legendre 配置谱方法离散该能量泛函的-维和二维情形. 其次, 对该能量泛函极小值问题进行了数值模拟. 最后，通过分析实验数据结果和图像得出，针对非旋转的 Bose-Einstein 凝聚态的基态解问题可以使用Legendre配置谱方法来求解, 且数值结果的误差较小. [ABSTRACT FROM AUTHOR] |
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| قاعدة البيانات: |
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