摘要 : We prove dispersive estimates for two models: the adjacency matrix on a discrete regular tree, and the Schrodinger equation on a metric regular tree with the same potential on each edge/vertex. The latter model can be thought of a... 展开 We prove dispersive estimates for two models: the adjacency matrix on a discrete regular tree, and the Schrodinger equation on a metric regular tree with the same potential on each edge/vertex. The latter model can be thought of as an extension of the case of periodic Schrodinger operators on the real line. We establish a t(-3/2)-decay for both models which is sharp, as we give the first-order asymptotics. 收起