Gross-Pitaevskii Theory of the Rotating Bose Gas
✍ Scribed by Robert Seiringer
- Publisher
- Springer
- Year
- 2002
- Tongue
- English
- Weight
- 168 KB
- Volume
- 229
- Category
- Article
- ISSN
- 0010-3616
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## 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
The Gross-Pitaevskii rà egime of a Bose-Einstein condensate is investigated using a fully non-linear approach. The conÿning potential ÿrst adopted is that of a linear ramp. An inÿnite class of new analytical solutions of this linear ramp potential approximation to the Gross-Pitaevskii equation is fo
## 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 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.