On the Gross-Pitaevskii equation for trapped dipolar quantum gases

Physics – Mathematical Physics

Scientific paper

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21 pages

Scientific paper

10.1088/0951-7715/21/11/006

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.

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