The Strongly Confined Schrödinger–Poisson System for the Transport of Electrons in a Nanowire

DOI10.1137/080715950zbMath1173.35643OpenAlexW2011066618MaRDI QIDQ3395064

Florian Méhats, Fanny Delebecque-Fendt, Naoufel Ben Abdallah, Francois Castella

Publication date: 20 August 2009

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/080715950

zbMATH Keywords

singular perturbationasymptotic analysisquantum transportSchrödinger-Poisson systemnanoelectronicsnanowire

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Other elementary particle theory in quantum theory (81V25) Singular perturbations in context of PDEs (35B25) NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40) Statistical mechanics of semiconductors (82D37) Quantum hydrodynamics and relativistic hydrodynamics (76Y05)

Related Items (4)

Averaging of strong magnetic nonlinear Schrödinger equations in the energy space ⋮ Strong confinement limit for the nonlinear Schrödinger equation constrained on a curve ⋮ An effective mass theorem for the bidimensional electron gas in a strong magnetic field ⋮ AN ASYMPTOTIC MODEL FOR THE TRANSPORT OF AN ELECTRON GAS IN A SLAB

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