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The nature of the essential spectrum in curved quantum waveguides

✍ Scribed by Krejcirik, David; Aldecoa, Rafael Tiedra de


Book ID
120013540
Publisher
Institute of Physics
Year
2004
Tongue
English
Weight
225 KB
Volume
37
Category
Article
ISSN
0305-4470

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It is proved that small periodic singular perturbation of a cylindrical waveguide surface may open a gap in the essential spectrum of the Dirichlet problem for the Laplace operator. If the perturbation period is long and the caverns in the cylinder are small, the gap certainly opens.