Resonances in two-dimensional quantum waveguides separated by a semitransparent barrier with a small window

A. M. Vorobiev, I. Yu. Popov

St. Petersburg National Research University of Information Technologies, Mechanics and Optics

Abstract: In this Letter, we consider a pair of coupled quantum waveguides having a common semitransparent boundary with a small window, which leads to resonance phenomena when an electron is flying through it. Using the method of matched asymptotic expansions, the formulas for the first terms of resonance expansions (quasi-eigenvalues) and resonance states are obtained. The influence of the system geometry and the boundary transparency parameter on the lifetime of the resonance states is investigated.

Keywords: quantum waveguide, resonance, potential supported on the line.

Received: 12.04.2021
Revised: 05.05.2021
Accepted: 09.05.2021

DOI: 10.21883/PJTF.2021.17.51376.18826

 English version: Technical Physics Letters, 2021, 47:12, 886–888

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