Published November 2008 | Version v1
Journal article Metadata-only

On the Gross–Pitaevskii equation for trapped dipolar quantum gases

Creators

  • 1. CNRS and University Montpellier 2, Mathématiques, CC 051, Place Eugène Bataillon, 34095 Montpellier Cedex 5 (France)
  • 2. Department of Applied Mathematics and Theoretical Physics, CMS, Wilberforce Road, Cambridge CB3 0WA (United Kingdom)

Description

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

Availability note (English)

Available from http://dx.doi.org/10.1088/0951-7715/21/11/006

Additional details

Identifiers

DOI
10.1088/0951-7715/21/11/006;
PII
S0951-7715(08)79928-6;

Publishing Information

Journal Title
Nonlinearity (Print)
Journal Volume
21
Journal Issue
11
Journal Page Range
p. 2569-2590
ISSN
0951-7715

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
44095708
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; S97: MATHEMATICAL METHODS AND COMPUTING;
Descriptors DEI
BOSE-EINSTEIN CONDENSATION; GASES; GROUND STATES; MATHEMATICAL SOLUTIONS; NONLINEAR PROBLEMS; QUANTUM MECHANICS; TIME DEPENDENCE
Descriptors DEC
ENERGY LEVELS; FLUIDS; MECHANICS