On the Gross-Pitaevskii equation for trapped dipolar quantum gases
Mathematical Physics
2009-11-13 v1 math.MP
Abstract
We study the time-dependent Gross-Pitaevskii equation describing Bose-Einstein condensation of trapped dipolar quantum gases. Existence and uniqueness as well as the possible blow-up of solutions are studied. Moreover, we discuss the problem of dimension-reduction for this nonlinear and nonlocal Schrodinger equation.
Keywords
Cite
@article{arxiv.0805.0716,
title = {On the Gross-Pitaevskii equation for trapped dipolar quantum gases},
author = {Rémi Carles and Peter Markowich and Christof Sparber},
journal= {arXiv preprint arXiv:0805.0716},
year = {2009}
}
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21 pages