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math.SP2025
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 ove…
math.SP2025
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…