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Published in:
2021 | OriginalPaper | Chapter
10. Asymptotics of Resonant Tunneling in 3D Waveguides for Electrons of Small Energy
Authors : Lev Baskin, Pekka Neittaanmäki, Boris Plamenevskii, Oleg Sarafanov
Published in: Resonant Tunneling
Publisher: Springer International Publishing
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Abstract
In this chapter, we consider electron propagation in a waveguide with two cylindric outlets to infinity and two narrows of small diameters \(\varepsilon _1\) and \(\varepsilon _2\). The boundary of the waveguide is assumed to be smooth. The electron motion is described by the Helmholtz equation. The electron energy is supposed to be between the first and the second thresholds. We generalize and implement the asymptotic approach developed in Chap. 5. The basic results are presented by Theorem 10.4.5.