Rate of convergence toward Hartree dynamics with singular interaction potential

DOI10.1063/1.5003665zbMath1384.81150arXiv1708.07278OpenAlexW3105852673MaRDI QIDQ4635268

Jinyeop Lee, Ji Oon Lee, Li Chen

Publication date: 16 April 2018

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

Full work available at URL: https://arxiv.org/abs/1708.07278

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) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (7)

On the characterisation of fragmented Bose–Einstein condensation and its emergent effective evolution ⋮ Strong semiclassical limits from Hartree and Hartree-Fock to Vlasov-Poisson equations ⋮ Combined mean-field and semiclassical limits of large fermionic systems ⋮ Rate of convergence toward Hartree type equations for mixture condensates with factorized initial data ⋮ 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 ⋮ Convergence towards the Vlasov-Poisson equation from the \(N\)-fermionic Schrödinger equation

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