On the scattering problem for infinitely many fermions in dimensions \(d\geq 3\) at positive temperature

DOI10.1016/j.anihpc.2017.05.002zbMath1383.81366arXiv1607.07958OpenAlexW2963892693MaRDI QIDQ1697424

Nataša Pavlović, Thomas Chen, Younghun Hong

Publication date: 20 February 2018

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.07958

zbMATH Keywords

scatteringinfinitely many particlesHartree equation

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) PDEs in connection with quantum mechanics (35Q40) Many-body theory; quantum Hall effect (81V70) Statistical thermodynamics (82B30) Quantum state spaces, operational and probabilistic concepts (81P16)

Related Items (11)

On the emergence of quantum Boltzmann fluctuation dynamics near a Bose-Einstein condensate ⋮ Strichartz estimates for orthonormal families of initial data and weighted oscillatory integral estimates ⋮ Global existence versus finite time blowup dichotomy for the system of nonlinear Schrödinger equations ⋮ Stability of equilibria for a Hartree equation for random fields ⋮ Long-time behaviour of time-dependent density functional theory ⋮ The Hartree equation with a constant magnetic field: well-posedness theory ⋮ The orthonormal Strichartz inequality on torus ⋮ A diffusion result for the Hartree equation around non-localised solutions ⋮ On the Strichartz estimates for orthonormal systems of initial data with regularity ⋮ Maximal estimates for the Schrödinger equation with orthonormal initial data ⋮ The Hartree and Vlasov equations at positive density

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