Existence and uniqueness of ground states for attractive Bose–Einstein condensates in box-shaped traps
DOI10.1063/5.0039100zbMath1461.81148OpenAlexW3137374650MaRDI QIDQ5859100
Publication date: 15 April 2021
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/5.0039100
Existence of solutions for minimax problems (49J35) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Phase transitions (general) in equilibrium statistical mechanics (82B26) Existence theories for optimal control problems involving partial differential equations (49J20) Ion traps (78A37) Bosonic systems in quantum theory (81V73)
Cites Work
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- Energy estimates and symmetry breaking in attractive Bose-Einstein condensates with ring-shaped potentials
- On the collapse and concentration of Bose-Einstein condensates with inhomogeneous attractive interactions
- On the prescribed scalar curvature problem in \(\mathbb{R}^N\), local uniqueness and periodicity
- Uniqueness of positive solutions of \(\Delta u-u+u^ p=0\) in \(R^ n\)
- Minimizers of mass critical Hartree energy functionals in bounded domains
- On the number of single-peak solutions of the nonlinear Schrödinger equation.
- Mathematical theory and numerical methods for Bose-Einstein condensation
- Existence and orbital stability of the ground states with prescribed mass for the \(L^2\)-critical and supercritical NLS on bounded domains
- On the mass concentration for Bose-Einstein condensates with attractive interactions
- Stability estimates for the lowest eigenvalue of a Schrödinger operator
- Vortices in Bose-Einstein condensates
- On the Symmetry of the Ground States of Nonlinear Schrödinger Equation with Potential
- Threshold behavior and uniqueness of ground states for mass critical inhomogeneous Schrödinger equations
- On the shape of least‐energy solutions to a semilinear Neumann problem
- Properties of ground states of attractive Gross–Pitaevskii equations with multi-well potentials
- Constraint minimizers of mass critical Hartree energy functionals: Existence and mass concentration
- Local Uniqueness and Refined Spike Profiles of Ground States for Two-Dimensional Attractive Bose-Einstein Condensates
- Uniqueness of positive bound states with multi-bump for nonlinear Schrödinger equations
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