Comparison of Asymptotic and Numerical Approaches to the Study of the Resonant Tunneling in Two-Dimensional Symmetric Quantum Waveguides of Variable Cross-Sections
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DOI: 10.1007/s10958-019-04263-4
Abstract: The waveguide considered coincides with a strip having two narrows of width ε. An electron wave function satisfies the Dirichlet boundary value problem for the Helmholtz equation. The part of the waveguide between the narrows… read more here.
Keywords: numerical approaches; asymptotic numerical; resonant tunneling; waveguides variable ... See more keywords
Effective Hamiltonians in surfaces of thin quantum waveguides
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DOI: 10.1063/1.5063804
Abstract: Effective operators for the Laplacian in surfaces of three-dimensional waveguides are investigated as their diameters vanish. read more here.
Keywords: effective hamiltonians; thin quantum; quantum waveguides; surfaces thin ... See more keywords
Electron scattering in quantum waveguides with sources and absorbers. II. Applications
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DOI: 10.1063/1.5084053
Abstract: We show that in quantum waveguides, the Fano resonance profile associated with propagating modes has its analogs with evanescent modes as well. This is found to be an unusual and a universal effect for any… read more here.
Keywords: quantum; quantum waveguides; electron scattering; effect ... See more keywords
Mathematical Scattering Theory in Quantum Waveguides
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DOI: 10.1134/s102833581911003x
Abstract: A waveguide occupies a domain G with several cylindrical ends. The waveguide is described by a nonstationary equation of the form $$i{{\partial }_{t}}f = \mathcal{A}f$$, where $$\mathcal{A}$$ is a selfadjoint second order elliptic operator with… read more here.
Keywords: equation; mathematical scattering; theory quantum; quantum waveguides ... See more keywords