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Erschienen in:
2021 | OriginalPaper | Buchkapitel
7. Resonant Tunneling of High-Energy Electrons in 2D-Waveguides
verfasst von : Lev Baskin, Pekka Neittaanmäki, Boris Plamenevskii, Oleg Sarafanov
Erschienen in: Resonant Tunneling
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Abstract
The waveguide occupies a strip in \(\mathbb {R}^2\) having two identical narrows of small diameter \(\varepsilon \). An electron wave function satisfies the Helmholtz equation with the homogeneous Dirichlet boundary condition. The energy of electrons (spectral parameter) may be rather high, i.e. any (fixed) number of waves can propagate in the strip far from the narrows. The spectral parameter varies in the vicinity of a degenerate eigenvalue of the resonator and is separated from the thresholds, in other words, the number of scattering channels remains constant. The purpose is to describe an asymptotics of the transmission coefficient at the specified values of the spectral parameter.