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Magnetic Dirichlet Laplacian on deformed waveguides
Daniel Alpay, Diana Barseghyan, Baruch Schneider
It is well known that the spectrum of the Dirichlet Laplacian for a two-dimensional waveguide, which is a local deformation of a straight strip, is unstable with respect to wavegui…
Magnetic Dirichlet Laplacian on a perturbed twisted tube
Diana Barseghyan, Ricardo Abreu Blaya, Juan Bory-Reyes +1
It is well known that the spectrum of the Dirichlet Laplacian for a compact perturbation of a three-dimensional, periodically twisted tube is unstable with respect to domain deform…
Three-dimensional magnetic Schrödinger operator with the potential supported in a tube
Diana Barseghyan, Juan Bory-Reyes, Baruch Schneider
In this paper, we study the following magnetic Schrödinger operator in : \[ H=(i \nabla +A)^2- \tilde{V}, \] where is non-negative potential supported ov…
Lieb-Thirring type estimates for Dirichlet Laplacians on spiral-shaped domains
Juan Bory-Reyes, Diana Barseghyan, Baruch Schneider
In this paper we derive Lieb-Thirring estimates for eigenvalues of Dirichlet Laplacians below the threshold of the essential spectrum on asymptotically Archimedean spiral-shaped re…