Abstract
A Schrodinger network is a suitable infinite graph on which certain potential-theoretic aspects of the discrete Schrodinger equation can be studied. It is shown that the positive solutions of this discrete equation can be represented as integrals. The Cartesian product of Schrodinger networks, which has a bearing on Markov chains, is investigated. Also, we give a characterization of minimal positive harmonic functions on the the Cartesian product of Schrodinger networks.