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

DOI10.2969/jmsj/06110065zbMath1157.82046OpenAlexW2750069085MaRDI QIDQ1006181

Francis Nier, Virginie Bonnaillie-Noël, Yassine Patel

Publication date: 20 March 2009

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2969/jmsj/06110065

zbMATH Keywords

asymptotic analysisSchrödinger-Poisson systemmultiscale problems

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) NLS equations (nonlinear Schrödinger equations) (35Q55) 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

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, Far from equilibrium steady states of 1D-Schrödinger-Poisson systems with quantum wells. I, A Double Scale Fast Algorithm for the Transient Evolution of a Resonant Tunneling Diode, Far from equilibrium steady states of 1D-Schrödinger-Poisson systems with quantum wells II

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