A Mourre estimate for a Schroedinger operator on a binary tree
C. Allard, R. Froese
Abstract
Let G be a binary tree with vertices V and let H be a Schroedinger operator acting on l2(V). A decomposition of the space l2(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.
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