On the spin-1 Bose–Einstein condensates in the presence of Ioffe–Pritchard magnetic field-Reference-Cited by-同舟云学术

On the spin-1 Bose–Einstein condensates in the presence of Ioffe–Pritchard magnetic field

Published:2016-07-18 Issue:05 Volume:18 Page:1550062
ISSN:0219-1997
Container-title:Communications in Contemporary Mathematics
language:en
Short-container-title:Commun. Contemp. Math.

Author:

Hajaiej Hichem¹,Carles Rémi²

Affiliation:

1. Department of Mathematics, College of Sciences, King Saud University, 11451 Riyadh, Saudi Arabia

2. CNRS et Université Montpellier, Mathématiques, CC 051, Place Eugène Bataillon, 34095, Montpellier Cedex 5, France

Abstract

We study the Cauchy problem of an antiferromagnetic spin-1 Bose–Einstein condensate under Ioffe–Pritchard magnetic field [Formula: see text]. We then address the existence of ground state solutions and characterize the orbit of standing waves.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219199715500625

Reference13 articles.

1. Efficient numerical methods for computing ground states of spin-1 Bose–Einstein condensates based on their characterizations

2. Rearrangement inequalities for functionals with monotone integrands

3. On ground state of spinor Bose–Einstein condensates

4. LINEAR VS. NONLINEAR EFFECTS FOR NONLINEAR SCHRÖDINGER EQUATIONS WITH POTENTIAL

5. On the Cauchy problem in Sobolev spaces for nonlinear Schrödinger equations with potential

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