This article is cited in 7 papers

Electron in a multilayered magnetic structure: resonance asymptotics

I. Yu. Popov, E. S. Tesovskaya

St. Petersburg State University of Information Technologies, Mechanics and Optics

Abstract: We consider the Neumann Laplacian for two-dimensional weakly coupled strips and obtain asymptotic formulas for a quasieigenvalue close to the threshold. We study the scattering problem in the framework of the asymptotic approach and discuss possible applications of the results.

Keywords: waveguide, spectrum, scattering, resonance.

Received: 02.11.2005
Revised: 16.09.2005

DOI: 10.4213/tmf2045

 English version: Theoretical and Mathematical Physics, 2006, 146:3, 361–372

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