A quasi-local Gross–Pitaevskii equation for attractive Bose–Einstein condensates
✍ Scribed by Juan J. Garcı́a-Ripoll; Vladimir V. Konotop; Boris Malomed; Vı́ctor M. Pérez-Garcı́a
- Book ID
- 108453381
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 113 KB
- Volume
- 62
- Category
- Article
- ISSN
- 0378-4754
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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
## Abstract Consider a system of __N__ bosons on the three‐dimensional unit torus interacting via a pair potential __N__^2^__V__(__N__(__x~i~__ − __x~j~__)) where x = (__x__~1~, …, __x~N~__) denotes the positions of the particles. Suppose that the initial data ψ~__N__, 0~ satisfies the condition w