Geodesic
Variational estimations of the eigenvalues for 3D quantum waveguides in a transverse electric field
Nanosistemy: fizika, himiâ, matematika, Tome 3 (2012) no. 3, pp. 6-22.

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It is shown that an eigenvalue of the Laplacian exists below the continuous spectrum for a system of threedimensional quantum waveguides laterally coupled via a small window and placed in a transverse electric field, and the estimation for the eigenvalue is obtained. A field induced shift of the eigenvalue is estimated by using a variation.
Keywords: variational method, spectrum estimations, quantum waveguides, external field. 
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     title = {Variational estimations of the eigenvalues for {3D} quantum waveguides in a transverse electric field},
     journal = {Nanosistemy: fizika, himi\^a, matematika},
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D. G. Matveev; I. Yu. Popov. Variational estimations of the eigenvalues for 3D quantum waveguides in a transverse electric field. Nanosistemy: fizika, himiâ, matematika, Tome 3 (2012) no. 3, pp. 6-22. http://geodesic.mathdoc.fr/item/NANO_2012_3_3_a0/