Uniform in \(N\) global well-posedness of the time-dependent Hartree-Fock-Bogoliubov equations in \(\mathbb {R}^{1+1}\)
From MaRDI portal
Publication:1785832
DOI10.1007/S11005-018-1078-8zbMath1403.35250arXiv1704.00955OpenAlexW2610262802MaRDI QIDQ1785832
Publication date: 1 October 2018
Published in: Letters in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1704.00955
NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40) Many-body theory; quantum Hall effect (81V70) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10)
Related Items (2)
On the emergence of quantum Boltzmann fluctuation dynamics near a Bose-Einstein condensate ⋮ Uniform in N estimates for a Bosonic system of Hartree–Fock–Bogoliubov type
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Beyond mean field: on the role of pair excitations in the evolution of condensates
- Quantum many-body fluctuations around nonlinear Schrödinger dynamics
- The mathematics of the Bose gas and its condensation.
- Second-order corrections to mean field evolution of weakly interacting bosons. I
- On blowup for time-dependent generalized Hartree-Fock equations
- Second-order corrections to mean field evolution of weakly interacting bosons. II
- Rate of convergence towards Hartree dynamics
- Derivation of the Gross-Pitaevskii equation for the dynamics of Bose-Einstein condensate
- Quantum fluctuations and rate of convergence towards mean field dynamics
- The Dirac-Frenkel principle for reduced density matrices, and the Bogoliubov-de Gennes equations
- Pair excitations and the mean field approximation of interacting Bosons, II
- Rate of Convergence to Mean Field for Interacting Bosons
- Quantitative Derivation of the Gross‐Pitaevskii Equation
- Rate of convergence in nonlinear Hartree dynamics with factorized initial data
- Exact Analysis of an Interacting Bose Gas. I. The General Solution and the Ground State
- Exact Analysis of an Interacting Bose Gas. II. The Excitation Spectrum
This page was built for publication: Uniform in \(N\) global well-posedness of the time-dependent Hartree-Fock-Bogoliubov equations in \(\mathbb {R}^{1+1}\)
