Let G be a binary tree with vertices V and let H be a Schroedinger operator acting on l^{ 2}(V). A decomposition of the space l^{ 2}(V) into invariant subspaces is exhibited yielding a conjugate operator A, for use in the Mourre estimate. We show that for potentials q satisfying a first order difference decay condition, a Mourre estimate for H holds.
Categories: math-ph math.MP