Asymptotic Theory of Resonant Tunneling in 3D Quantum Waveguides of Variable Cross-Section

DOI10.1137/090757113zbMath1202.35061OpenAlexW2076279133WikidataQ110084979 ScholiaQ110084979MaRDI QIDQ3053169

O. V. Sarafanov, Lev Baskin, Boris A. Plamenevsky, Pekka Neittaanmäki

Publication date: 4 November 2010

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

Full work available at URL: https://doi.org/10.1137/090757113

zbMATH Keywords

asymptotic approximationHelmholtz equationscattering matrixvariable cross-sectionquantum waveguideresonant tunnelingremainder estimate

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Electromagnetic interaction; quantum electrodynamics (81V10) Asymptotic expansions of solutions to PDEs (35C20) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) (S)-matrix theory, etc. in quantum theory (81U20)

Related Items (5)

Asymptotic and numerical study of resonant tunneling in two-dimensional quantum waveguides of variable cross section ⋮ Asymptotic theory of resonant tunneling in 3D waveguides of variable cross-section in a magnetic field ⋮ Asymptotic and numerical study of electron flow spin polarization in 2D waveguides of variable cross-section in the presence of magnetic field ⋮ Asymptotics of the resonant tunneling of high-energy electrons in two-dimensional quantum waveguides of variable cross-section ⋮ Asymptotics of resonant tunneling in a two-dimensional quantum waveguide with several equal resonators

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