Asymptotic and numerical study of electron flow spin polarization in 2D waveguides of variable cross-section in the presence of magnetic field

DOI10.1002/mma.2889zbMath1311.35240OpenAlexW2057607676WikidataQ110224612 ScholiaQ110224612MaRDI QIDQ5415926

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Publication date: 19 May 2014

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.2889

zbMATH Keywords

asymptotic expansionsscattering matrixnumerical analysisPauli equationspin polarizationresonant tunnelingquantum waveguide of variable cross-section

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Scattering theory for PDEs (35P25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Asymptotic distributions of eigenvalues in context of PDEs (35P20) PDEs in connection with quantum mechanics (35Q40) Quantum dots, waveguides, ratchets, etc. (81Q37) Quantum waveguides, quantum wires (82D77)

Related Items (2)

A method for approximate computation of waveguide scattering matrices ⋮ Asymptotics of the resonant tunneling of high-energy electrons in two-dimensional quantum waveguides of variable cross-section

Cites Work

• On a method for computing waveguide scattering matrices in the presence of point spectrum
• Elliptic problems in domains with piecewise smooth boundaries
• Asymptotic Theory of Resonant Tunneling in 3D Quantum Waveguides of Variable Cross-Section
• On a method for computing waveguide scattering matrices
• Binding and Scattering in Two-Dimensional Systems

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