On asymmetric quasiperiodic solutions of Hartree-Fock systems

DOI10.1006/jdeq.2000.4014zbMath1027.35107OpenAlexW2068362426MaRDI QIDQ1604507

Jean Dolbeault, Horst Lange, Reinhard Illner

Publication date: 4 July 2002

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jdeq.2000.4014

zbMATH Keywords

constant magnetic fieldHartree-Fock systemsquasiperiodic time-dependent problems

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Almost and pseudo-almost periodic solutions to PDEs (35B15) PDEs in connection with quantum mechanics (35Q40)

Cites Work

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• Asymptotic behaviour for the 3-D Schrödinger-Poisson system in the attractive case with positive energy
• THE ONE-DIMENSIONAL PERIODIC BLOCH-POISSON EQUATION
• Semiclassical, $t\rightarrow \infty $ asymptotics and dispersive effects for Hartree-Fock systems
• Boltzmann distributed quantum steady states and their classical limit
• Global existence, uniqueness and asymptotic behaviour of solutions of the Wigner–Poisson and Schrödinger‐Poisson systems
• Schrödinger-Poisson systems in dimension d ≦ 3: The whole-space case
• ASYMPTOTIC BEHAVIOR TO THE 3-D SCHRÖDINGER/HARTREE–POISSON AND WIGNER–POISSON SYSTEMS

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