Variational estimations of the eigenvalues for 3D quantum waveguides in a transverse electric field
Аннотация
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.
Об авторах
D. Matveev
Microsoft
Соединённые Штаты Америки
Соединённые Штаты Америки
I. Popov
Saint Petersburg National Research University of Information Technologies, Mechanics and Optics
Россия
Россия
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Рецензия
Для цитирования:
, . Наносистемы: физика, химия, математика. 2012;3(3):6-22.
For citation:
Matveev D.G., Popov I.Yu. Variational estimations of the eigenvalues for 3D quantum waveguides in a transverse electric field. Nanosystems: Physics, Chemistry, Mathematics. 2012;3(3):6-22.
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