Far from equilibrium steady states of 1D-Schrödinger-Poisson systems with quantum wells. I

DOI10.1016/j.anihpc.2007.05.007zbMath1149.82349OpenAlexW1973921613MaRDI QIDQ950247

Virginie Bonnaillie-Noël, Yassine Patel, Francis Nier

Publication date: 22 October 2008

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

Full work available at URL: https://eudml.org/doc/78820

zbMATH Keywords

asymptotic analysisSchrödinger-Poisson systemmultiscale problems

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Statistical mechanics of semiconductors (82D37) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Applications to the sciences (65Z05) Nonlinear ordinary differential operators (34L30) Scattering theory, inverse scattering involving ordinary differential operators (34L25)

Related Items (5)

Adiabatic Evolution and Shape Resonances ⋮ Quantum evolution in the regime of quantum wells in a semiclassical island with artificial interface conditions ⋮ ADIABATIC EVOLUTION OF 1D SHAPE RESONANCES: AN ARTIFICIAL INTERFACE CONDITIONS APPROACH ⋮ A Double Scale Fast Algorithm for the Transient Evolution of a Resonant Tunneling Diode ⋮ Non-autonomous quantum systems with scale-dependent interface conditions

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