Geodesic
Spectral problem for the chains of weakly coupled conglobate resonators
Nanosistemy: fizika, himiâ, matematika, Tome 3 (2012) no. 3, pp. 23-30

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In this paper we consider the spectral problem for two kinds of chains of weakly coupled conglobate resonators: a direct one and one with a kink. Equations for spectrum of these chains are derived by using of the theory of self-adjoint extensions of symmetric operators, Bloch's theory and approach of the transfer-matrices. The paper shows that the system of direct-type chain of weakly coupled conglobate resonators has a continious energy spectrum with a band structure. And for the chain with a kink we prove the existence of point spectrum.
Keywords: spectrum, theory of extensions, self-adjoint, existence theorem.
Mots-clés : transfer-matrices 
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     author = {A. S. Anikevich},
     title = {Spectral problem for the chains of weakly coupled conglobate resonators},
     journal = {Nanosistemy: fizika, himi\^a, matematika},
     pages = {23--30},
     publisher = {mathdoc},
     volume = {3},
     number = {3},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/NANO_2012_3_3_a1/}
}
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A. S. Anikevich. Spectral problem for the chains of weakly coupled conglobate resonators. Nanosistemy: fizika, himiâ, matematika, Tome 3 (2012) no. 3, pp. 23-30. http://geodesic.mathdoc.fr/item/NANO_2012_3_3_a1/