98-497 C. Allard, R. Froese
A Mourre estimate for a Schroedinger operator on a binary tree. (231K, PostScript) Jul 9, 98
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Abstract. Let G be a binary tree with vertices V and let H be a Schrodinger 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.

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