Asymptotics of resonant tunneling in a two-dimensional quantum waveguide with several equal resonators

DOI10.1080/00036811.2018.1478078zbMath1428.35424OpenAlexW2806813638MaRDI QIDQ5238207

I. Gurianov, O. V. Sarafanov

Publication date: 28 October 2019

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2018.1478078

zbMATH Keywords

Helmholtz equationvariable cross-sectionasymptotic descriptionquantum waveguideresonant tunneling

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with quantum mechanics (35Q40) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Resonance in context of PDEs (35B34)

Cites Work

• Elliptic problems in domains with piecewise smooth boundaries
• Perturbation theory for linear operators.
• Asymptotic and numerical study of resonant tunneling in two-dimensional quantum waveguides of variable cross section
• Asymptotic Theory of Resonant Tunneling in 3D Quantum Waveguides of Variable Cross-Section
• Resonant Tunneling

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