Geodesic
Electron in a~multilayered magnetic structure: resonance asymptotics
Teoretičeskaâ i matematičeskaâ fizika, Tome 146 (2006) no. 3, pp. 429-442

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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. 
@article{TMF_2006_146_3_a5,
     author = {I. Yu. Popov and E. S. Tesovskaya},
     title = {Electron in a~multilayered magnetic structure: resonance asymptotics},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {429--442},
     publisher = {mathdoc},
     volume = {146},
     number = {3},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2006_146_3_a5/}
}
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I. Yu. Popov; E. S. Tesovskaya. Electron in a~multilayered magnetic structure: resonance asymptotics. Teoretičeskaâ i matematičeskaâ fizika, Tome 146 (2006) no. 3, pp. 429-442. http://geodesic.mathdoc.fr/item/TMF_2006_146_3_a5/