A duality between Schroedinger operators on graphs and certain Jacobi matrices
Abstract
Description
The known correspondence between the Kronig-Penney model and certain Jacobi matrices is extended to a wide class of Schroedinger operators on graphs. Examples include rectangular lattices with and without a magnetic field, or comb-shaped graphs leading to a Maryland-type model.
LaTeX, 11 pages, no figures
LaTeX, 11 pages, no figures