On the Gross-Pitaevskii equation for trapped dipolar quantum gases

被引：81

作者：

Carles, Remi ^{[1
,2
]}

Markowich, Peter A. ^{[3
]}

Sparber, Christof ^{[3
]}

机构：

[1] CNRS, F-34095 Montpellier 5, France

[2] Univ Montpellier 2, F-34095 Montpellier 5, France

[3] CMS, Dept Appl Math & Theoret Phys, Cambridge CB3 0WA, England

来源：

NONLINEARITY | 2008年 / 21卷 / 11期

关键词：

D O I：

10.1088/0951-7715/21/11/006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：2569 / 2590

页数：22

共 26 条

[21] EXISTENCE OF SOLUTIONS FOR SCHRODINGER EVOLUTION-EQUATIONS [J].

YAJIMA, K .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1987, 110 (03) :415-426

[22] Trapped atomic condensates with anisotropic interactions [J].

Yi, S ;

You, L .

PHYSICAL REVIEW A, 2000, 61 (04) :4

[23] Calibrating dipolar interaction in an atomic condensate [J].

Yi, S ;

You, L .

PHYSICAL REVIEW LETTERS, 2004, 92 (19) :193201-1

[24] Trapped condensates of atoms with dipole interactions [J].

Yi, S ;

You, L .

PHYSICAL REVIEW A, 2001, 63 (05) :14

[25]

Zakharov V. E., 1972, Soviet Physics - JETP, V35, P908

[26] Sharp threshold for blowup and global existence in nonlinear Schrodinger equations under a harmonic potential [J].

Zhang, J .

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2005, 30 (10) :1429-1443

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