Asymptotic Behaviour of the Spectrum of a Waveguide with Distant Perturbations
نویسندگان
چکیده
منابع مشابه
Asymptotic behaviour of the spectrum of a waveguide with distant perturbations
We consider the waveguide modelled by a n-dimensional infinite tube. The operator we study is the Dirichlet Laplacian perturbed by two distant perturbations. The perturbations are described by arbitrary abstract operators ”localized” in a certain sense, and the distance between their ”supports” tends to infinity. We study the asymptotic behaviour of the discrete spectrum of such system. The mai...
متن کاملAsymptotic behaviour of the spectrum of a waveguide with distant perturbation
We consider the waveguide modelled by n-dimensional tube in which Dirichlet Laplacian is considered perturbed by two distant perturbations. These perturbations are described by two arbitrary abstract operators which are ”localized” in some sense, and the distance between their ”supports” tends to infinity. We study the asymptotic behaviour of the discrete spectrum of such problem. The main resu...
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ژورنال
عنوان ژورنال: Mathematical Physics, Analysis and Geometry
سال: 2007
ISSN: 1385-0172,1572-9656
DOI: 10.1007/s11040-007-9028-1