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Nanosystems: Physics, Chemistry, Mathematics

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Vol 12, No 5 (2021) Bound states for Laplacian perturbed by varying potential supportedby line in R3 Abstract  PDF (Eng)  similar documents
A. S. Bagmutov
"... constant intensity, except for a local region. We prove the existence of discrete spectrum and construct ..."
 
Vol 13, No 2 (2022) On the discrete spectrum of a quantum waveguide with Neumann windows in presence of exterior field Abstract  PDF (Eng)  similar documents
A. S. Bagmutov, H. . Najar, I. F. Melikhov, I. Y. Popov
"... The discrete spectrum of the Hamiltonian describing a quantum particle living in three dimensional ..."
 
Vol 10, No 4 (2019) On formal asymptotic expansion of resonance for quantum waveguide with perforated semitransparent barrier Abstract  PDF (Eng)  similar documents
A. M. Vorobiev, A. S. Bagmutov, A. I. Popov
"... states localized near the barrier with the window. The asymptotics (in small parameter – the window width ..."
 
Vol 15, No 6 (2024) Boundary composed of small Helmholtz resonators: asymptotic approach Abstract  PDF (Eng)  similar documents
I. Y. Popov, E. S. Trifanova, A. S. Bagmutov, A. A. Lytaev
"... apertures tend to zero. We use the method of matching of asymptotic expansions of solutions. By directing ..."
 
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