Rate of convergence towards the Hartree-von Neumann limit in the mean-field regime
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Publication:657639
DOI10.1007/s11005-011-0477-xzbMath1244.35112OpenAlexW2014291165MaRDI QIDQ657639
Publication date: 10 January 2012
Published in: Letters in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11005-011-0477-x
NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40) Applications of functional analysis in quantum physics (46N50)
Related Items (13)
Derivation in Strong Topology and Global Well-Posedness of Solutions to the Gross-Pitaevskii Hierarchy ⋮ A new method and a new scaling for deriving fermionic mean-field dynamics ⋮ Unconditional Uniqueness for the Cubic Gross-Pitaevskii Hierarchy via Quantum de Finetti ⋮ On the well-posedness and scattering for the Gross-Pitaevskii hierarchy via quantum de Finetti ⋮ A rigorous derivation of the defocusing cubic nonlinear Schrödinger equation on \(\mathbb{T}^3\) from the dynamics of many-body quantum systems ⋮ On well-posedness for general hierarchy equations of Gross-Pitaevskii and Hartree type ⋮ On the Well-posedness of the Magnetic Schrödinger-Poisson System in ℝ3 ⋮ Randomization and the Gross-Pitaevskii hierarchy ⋮ The Dirac-Frenkel principle for reduced density matrices, and the Bogoliubov-de Gennes equations ⋮ Existence and nonlinear stability of stationary states for the magnetic Schrödinger-Poisson system ⋮ Existence and nonlinear stability of stationary states for the semi-relativistic Schrödinger-Poisson system ⋮ Local existence of solutions to randomized Gross-Pitaevskii hierarchies ⋮ Scaling limits of bosonic ground states, from many-body to non-linear Schrödinger
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