On the Gross-Pitaevskii equation for trapped dipolar quantum gases

Rémi Carles; Peter A. Markowich; Christof Sparber

doi:10.1088/0951-7715/21/11/006

On the Gross-Pitaevskii equation for trapped dipolar quantum gases

Rémi Carles^*, Peter A. Markowich, Christof Sparber

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

76 Scopus citations

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 Schrödinger equation.

Original language	English (US)
Pages (from-to)	2569-2590
Number of pages	22
Journal	Nonlinearity
Volume	21
Issue number	11
DOIs	https://doi.org/10.1088/0951-7715/21/11/006
State	Published - Nov 1 2008
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics
General Physics and Astronomy
Applied Mathematics

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10.1088/0951-7715/21/11/006

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title = "On the Gross-Pitaevskii equation for trapped dipolar quantum gases",

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 Schr{\"o}dinger equation.",

author = "R{\'e}mi Carles and Markowich, {Peter A.} and Christof Sparber",

year = "2008",

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doi = "10.1088/0951-7715/21/11/006",

language = "English (US)",

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TY - JOUR

T1 - On the Gross-Pitaevskii equation for trapped dipolar quantum gases

AU - Carles, Rémi

AU - Markowich, Peter A.

AU - Sparber, Christof

PY - 2008/11/1

Y1 - 2008/11/1

N2 - 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 Schrödinger equation.

AB - 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 Schrödinger equation.

UR - http://www.scopus.com/inward/record.url?scp=58149330425&partnerID=8YFLogxK

U2 - 10.1088/0951-7715/21/11/006

DO - 10.1088/0951-7715/21/11/006

M3 - Article

AN - SCOPUS:58149330425

SN - 0951-7715

VL - 21

SP - 2569

EP - 2590

JO - Nonlinearity

JF - Nonlinearity

IS - 11

ER -

On the Gross-Pitaevskii equation for trapped dipolar quantum gases

Abstract

ASJC Scopus subject areas

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