Magnetic Dirichlet Laplacian in curved waveguides

Magnetic Dirichlet Laplacian in curved waveguides

For a two-dimensional curved waveguide, it is well known that the spectrum of the Dirichlet Laplacian is unstable with respect to waveguide deformations. This means that if the waveguide is a straight strip then the spectrum of the Dirichlet Laplacian is purely essential. From the other hand, the pe...

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Bibliographic Details
Main Authors: Diana Barseghyan, Swanhild Bernstein, Baruch Schneider, Martha Lina Zimmermann
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2025-05-01
Series:Opuscula Mathematica
Subjects:
magnetic schrödinger operators
essential spectrum
discrete spectrum
Online Access:https://www.opuscula.agh.edu.pl/vol45/3/art/opuscula_math_4515.pdf
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