On ground state of spinor Bose-Einstein condensates
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Publication:640384
DOI10.1007/s00030-011-0102-9zbMath1228.35218OpenAlexW2080205082MaRDI QIDQ640384
I.-Liang Chern, Wei, Juncheng, Dao-Min Cao
Publication date: 18 October 2011
Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00030-011-0102-9
Asymptotic behavior of solutions to PDEs (35B40) Nonlinear boundary value problems for linear elliptic equations (35J65) A priori estimates in context of PDEs (35B45) NLS equations (nonlinear Schrödinger equations) (35Q55) Quantum equilibrium statistical mechanics (general) (82B10)
Related Items (23)
Normalized solutions to the Chern-Simons-Schrödinger system ⋮ On the spin-1 Bose–Einstein condensates in the presence of Ioffe–Pritchard magnetic field ⋮ Efficient numerical methods for computing ground states of spin-1 Bose-Einstein condensates based on their characterizations ⋮ Multiple positive normalized solutions for nonlinear Schrödinger systems ⋮ Normalized solutions for nonlinear Schrödinger systems with linear couples ⋮ Ground state solutions for linearly coupled elliptic systems with combined Sobolev critical terms ⋮ Finding multiple solutions to elliptic systems with polynomial nonlinearity ⋮ On three-component Gross-Pitaevskii equations in the spinor Bose-Einstein condensates with trapping potentials ⋮ Existence and dynamics of normalized solutions to nonlinear Schrödinger equations with mixed fractional Laplacians ⋮ Standing waves with prescribed \(L^2\)-norm to nonlinear Schrödinger equations with combined inhomogeneous nonlinearities ⋮ Exploring ground states and excited states of spin-1 Bose-Einstein condensates by continuation methods ⋮ Ground-state patterns and phase diagram of spin-1 Bose-Einstein condensates in uniform magnetic field ⋮ A kinetic energy reduction technique and characterizations of the ground states of spin-1 Bose-Einstein condensates ⋮ A complete study of the ground state phase diagrams of spin-1 Bose-Einstein condensates in a magnetic field via continuation methods ⋮ Multiple normalized solutions for a competing system of Schrödinger equations ⋮ A natural constraint approach to normalized solutions of nonlinear Schrödinger equations and systems ⋮ Existence of optical vortices in \(\mathbb{R}^2\) ⋮ Existence and orbital stability of standing waves for nonlinear Schrödinger systems ⋮ Ground states of spin-1 BEC with attractive mean-field interaction trapped in harmonic potential in \(\mathbb{R}^2\) ⋮ Existence of Minimizers for Some Coupled Nonlinear Schrödinger Equations ⋮ Orbital stability and concentration of standing-wave solutions to a nonlinear Schrödinger system with mass critical exponents ⋮ ON THE GROUND STATE OF SPIN-1 BOSE–EINSTEIN CONDENSATES WITH AN EXTERNAL IOFFE–PITCHARD MAGNETIC FIELD ⋮ Efficient continuation methods for spin-1 Bose–Einstein condensates in a magnetic field
Cites Work
- Nonlinear Schrödinger equations and sharp interpolation estimates
- Solutions of multi-component NLS models and spinor Bose-Einstein condensates
- Positive solutions for a weakly coupled nonlinear Schrödinger system
- Bound states for a coupled Schrödinger system
- Bound and ground states of coupled nonlinear Schrödinger equations
- Least energy solitary waves for a system of nonlinear Schrödinger equations in \({\mathbb{R}^n}\)
- Spikes in two coupled nonlinear Schrödinger equations
- Ground state of \(N\) coupled nonlinear Schrödinger equations in \(\mathbb R^n\), \(n \leq 3\)
- Structure of a quantized vortex in boson systems
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