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

DOI10.1142/S0219199715500625zbMath1349.35352OpenAlexW2141832331WikidataQ60317785 ScholiaQ60317785MaRDI QIDQ3188180

Rémi Carles, Hichem Hajaiej

Publication date: 17 August 2016

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219199715500625

zbMATH Keywords

magnetic fieldnonlinear Schrödinger equationground stateBose-Einstein condensationstanding waves

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) NLS equations (nonlinear Schrödinger equations) (35Q55) Variational methods for second-order elliptic equations (35J20) Statistical mechanics of magnetic materials (82D40)

Related Items (3)

Standing waves of coupled Schrödinger equations with quadratic interactions from Raman amplification in a plasma ⋮ Review Article: Mathematical Models and Numerical Methods for Spinor Bose-Einstein Condensates ⋮ Ground states of spin-1 BEC with attractive mean-field interaction trapped in harmonic potential in \(\mathbb{R}^2\)

Cites Work

• Efficient numerical methods for computing ground states of spin-1 Bose-Einstein condensates based on their characterizations
• On ground state of spinor Bose-Einstein condensates
• On the Cauchy problem in Sobolev spaces for nonlinear Schrödinger equations with potential
• Rearrangement inequalities for functionals with monotone integrands
• On the Variational Approach to the Stability of Standing Waves for the Nonlinear Schrödinger Equation
• LINEAR VS. NONLINEAR EFFECTS FOR NONLINEAR SCHRÖDINGER EQUATIONS WITH POTENTIAL

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