On the Gross-Pitaevskii equation for trapped dipolar quantum gases

Preprint

6 May 2008

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.0805.0716

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

GROSS PITAEVSKII EQUATION
PITAEVSKII EQUATION
DIMENSION REDUCTION
TRAPPED DIPOLAR
DIPOLAR QUANTUM
QUANTUM GASES
NONLOCAL

All Related Versions

Version 1, 2008-05-06, ArXiv
Published version: Nonlinearity, 21 (11), 2569.

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