Geodesic
Resonance asymptotics for a pair quantum waveguides with common semitransparent perforated wall
Nanosistemy: fizika, himiâ, matematika, Tome 11 (2020) no. 6, pp. 619-627.

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A nanostructure model,which is represented as a pair of coupled two-dimensional quantum waveguides with common semitransparent wall, is considered. That wall has small window which induces a resonance state localized near the window. Semitransparency is the reason for the asymptotics difference in comparison with the non-transparent case. Using the matching of asymptotic expansions method, we obtain formulas for resonances and resonance states.
Keywords: resonance, resonance state, waveguide, asymptotics. 
@article{NANO_2020_11_6_a0,
     author = {A. M. Vorobiev and E. S. Trifanova and I. Y. Popov},
     title = {Resonance asymptotics for a pair quantum waveguides with common semitransparent perforated wall},
     journal = {Nanosistemy: fizika, himi\^a, matematika},
     pages = {619--627},
     publisher = {mathdoc},
     volume = {11},
     number = {6},
     year = {2020},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/NANO_2020_11_6_a0/}
}
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A. M. Vorobiev; E. S. Trifanova; I. Y. Popov. Resonance asymptotics for a pair quantum waveguides with common semitransparent perforated wall. Nanosistemy: fizika, himiâ, matematika, Tome 11 (2020) no. 6, pp. 619-627. http://geodesic.mathdoc.fr/item/NANO_2020_11_6_a0/