A model of a quantum waveguide multiplexer
DOI:
https://doi.org/10.33910/2687-153X-2020-1-4-158-164Keywords:
quantum waveguide, transmission, resonance, operator extensions theory, mesoscopic systemAbstract
The paper explores the system of quantum waveguides and resonators. It suggests a solvable model of zero-width coupling windows based on the operator extensions theory in the Pontryagin space with indefinite metrics. The model self-adjoint operator is constructed explicitly, and it is similar (in some sense) to that of a physical system. We obtain an expression for the transmission coefficient for electrons and investigate its dependence on the electron energy which has a resonant character. It allows to control the electron transmission to different waveguides. The paper proposes a model of a three-channel quantum mesoscopic multiplexer.
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Copyright (c) 2020 Alexei M. Vorobiev, Tatiana S. Yurova, Igor Yu. Popov
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