On the Guided States of 3D Biperiodic Schrödinger Operators
On the Guided States of 3D Biperiodic Schrödinger Operators
We consider the Laplacian operator H 0: = − Δ perturbed by a non-positive potential V, which is periodic in two directions, and decays in the third one. We are interested in the characterization and decay properties of the guided states, defined as the eigenfunctions of the reduced operators in …