On asymmetric quasiperiodic solutions of Hartree-Fock systems
type: Item
instance of: scholarly article
title: On asymmetric quasiperiodic solutions of Hartree-Fock systems
zbMATH Open document ID: 1027.35107
author: Jean Dolbeault
author: Reinhard Illner
author: Horst Lange
published in: Journal of Differential Equations
publication date: 2002-07-04T00:00:00Z
review text: This paper is devoted to the solutions of Hartree-Fock systems in two dimensions, in the presence of a constant magnetic field (vector potential) \(\vec B(x)=\omega (-x_2,x_1)\) with field strength \(\omega>0\) and an external electric potential \(U_0(x_1,x_2)= \tfrac 12\rho_0|x |^2\). Under suitable assumptions on \(\rho_0\) the authors reduce the quasiperiodic time-dependent Hartree-Fock system to an eigenvalue problem solved by using variational methods.
Mathematics Subject Classification ID: 35Q40
Mathematics Subject Classification ID: 35A15
Mathematics Subject Classification ID: 81Q05
Mathematics Subject Classification ID: 35B15
zbMATH DE Number: 1763735
zbMATH Keywords: quasiperiodic time-dependent problems
zbMATH Keywords: Hartree-Fock systems
zbMATH Keywords: constant magnetic field
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
full work available at URL: jdeq.2000.4014
OpenAlex ID: W2068362426
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DOI: 10.1006/JDEQ.2000.4014
description: scientific article; zbMATH DE number 1763735