Rate of convergence in nonlinear Hartree dynamics with factorized initial data

DOI10.1063/1.3589962zbMath1317.81286arXiv1008.3942OpenAlexW1977564277MaRDI QIDQ5265983

Li Chen, Ji Oon Lee

Publication date: 29 July 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1008.3942

Mathematics Subject Classification ID

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 (16)

Rate of Convergence to Mean Field for Interacting Bosons ⋮ Beyond Bogoliubov dynamics ⋮ On the characterisation of fragmented Bose–Einstein condensation and its emergent effective evolution ⋮ On well-posedness for general hierarchy equations of Gross-Pitaevskii and Hartree type ⋮ Rate of convergence towards semi-relativistic Hartree dynamics ⋮ The Magnetic Liouville Equation as a Semiclassical Limit ⋮ Rate of convergence towards Hartree dynamics ⋮ Rate of convergence toward Hartree dynamics with singular interaction potential ⋮ Classical limit of the Nelson model with cutoff ⋮ Rate of convergence toward Hartree type equations for mixture condensates with factorized initial data ⋮ Uniform in \(N\) global well-posedness of the time-dependent Hartree-Fock-Bogoliubov equations in \(\mathbb {R}^{1+1}\) ⋮ Derivation of the Bogoliubov time evolution for a large volume mean-field limit ⋮ Bogoliubov corrections and trace norm convergence for the Hartree dynamics ⋮ Mean-field dynamics for mixture condensates via Fock space methods ⋮ Symmetric properties for Choquard equations involving fully nonlinear nonlocal operators ⋮ On the time dependence of the rate of convergence towards Hartree dynamics for interacting bosons

Cites Work

• Mean-field dynamics: Singular potentials and rate of convergence
• Quantum dynamics with mean field interactions: a new approach
• Quantum fluctuations and rate of convergence towards mean field dynamics
• The classical field limit of scattering theory for non-relativistic many- boson systems. I
• The classical field limit of scattering theory for non-relativistic many- boson systems. II
• Derivation of the nonlinear Schrödinger equation from a many body Coulomb system
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Rate of convergence in nonlinear Hartree dynamics with factorized initial data