Global Dispersive Solutions for the Gross–Pitaevskii Equation in Two and Three Dimensions
✍ Scribed by Stephen Gustafson; Kenji Nakanishi; Tai-Peng Tsai
- Publisher
- Springer
- Year
- 2007
- Tongue
- English
- Weight
- 419 KB
- Volume
- 8
- Category
- Article
- ISSN
- 1424-0637
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📜 SIMILAR VOLUMES
We present a numerical scheme for solving the time-independent nonlinear Gross-Pitaevskii equation in two dimensions describing the Bose-Einstein condensate of trapped interacting neutral atoms at zero temperature. The trap potential is taken to be of the harmonic-oscillator type and the interaction
For high wave numbers, the Helmholtz equation su!ers the so-called &pollution e!ect'. This e!ect is directly related to the dispersion. A method to measure the dispersion on any numerical method related to the classical Galerkin FEM is presented. This method does not require to compute the numerical
## Abstract In this paper, we establish the global well posedness of the Cauchy problem for the Gross–Pitaevskii equation with a rotational angular momentum term in the space ℝ^2^. Copyright © 2007 John Wiley & Sons, Ltd.