Premium
Complementary study of the standing wave solutions of the Gross–Pitaevskii equation in dipolar quantum gases
Author(s) -
Carles Rémi,
Hajaiej Hichem
Publication year - 2015
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/bdv024
Subject(s) - gross–pitaevskii equation , uniqueness , bose–einstein condensate , mathematics , quantum , ground state , dipole , condensation , standing wave , symmetry (geometry) , classical mechanics , mathematical physics , mathematical analysis , quantum mechanics , physics , thermodynamics , geometry
We study the stability of the standing wave solutions of a Gross–Pitaevskii equation describing Bose–Einstein condensation of dipolar quantum gases and characterize their orbit. As an intermediate step, we consider the corresponding constrained minimization problem and establish existence, symmetry and uniqueness of the ground state solutions.