On a Solution of the Gross--Pitaevskii Equation for a Condensate Wave Function
✍ Scribed by V. P. Maslov; A. V. Churkin
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 2005
- Tongue
- English
- Weight
- 130 KB
- Volume
- 78
- Category
- Article
- ISSN
- 0001-4346
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## Abstract We develop a simple Dufort‐Frankel‐type scheme for solving the time‐dependent Gross‐Pitaevskii equation (GPE). The GPE is a nonlinear Schrödinger equation describing the Bose‐Einstein condensation (BEC) at very low temperature. Three different geometries including 1D spherically symmetr
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