Rate of convergence towards semi-relativistic Hartree dynamics
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Publication:1944789
DOI10.1007/s00023-012-0188-6zbMath1267.81305arXiv1111.4735OpenAlexW3100653659MaRDI QIDQ1944789
Publication date: 28 March 2013
Published in: Annales Henri Poincaré (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1111.4735
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Many-body theory; quantum Hall effect (81V70)
Related Items (13)
A central limit theorem in many-body quantum dynamics ⋮ Optimal convergence rate and regularity of nonrelativistic limit for the nonlinear pseudo-relativistic equations ⋮ A simple proof of convergence to the Hartree dynamics in Sobolev trace norms ⋮ A rigorous derivation of the defocusing cubic nonlinear Schrödinger equation on \(\mathbb{T}^3\) from the dynamics of many-body quantum systems ⋮ On the emergence of quantum Boltzmann fluctuation dynamics near a Bose-Einstein condensate ⋮ Rate of convergence toward Hartree dynamics with singular interaction potential ⋮ Randomization and the Gross-Pitaevskii hierarchy ⋮ Rate of convergence toward Hartree type equations for mixture condensates with factorized initial data ⋮ On the uniqueness of solutions to the periodic 3D Gross-Pitaevskii hierarchy ⋮ Local existence of solutions to randomized Gross-Pitaevskii hierarchies ⋮ Bogoliubov corrections and trace norm convergence for the Hartree dynamics ⋮ On the time dependence of the rate of convergence towards Hartree dynamics for interacting bosons ⋮ Convergence rate towards the fractional Hartree equation with singular potentials in higher Sobolev trace norms
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