5 papers · 1 filter
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…
Magnetic Dirichlet Laplacian in curved waveguides
Diana Barseghyan, Swanhild Bernstein, Baruch Schneider +1
For a two-dimensional curved waveguide, it is well known that the spectrum of the Dirichlet Laplacian is unstable. Any perturbation of the straight strip produces eigenvalues below…
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…