A Mourre estimate for a Schroedinger operator on a binary tree

Details A Mourre estimate for a Schroedinger operator on a binary tree A Mourre estimate for a Schroedinger operator on a binary tree

1998-07-09

arxiv.org/abs/math-ph/9807007v1

Physics

Mathematical Physics

Latex2e, 12 pages, 2 eps figures included, Presented at the Louisville AMS meeting, March 20-21, 1998

Scientific paper

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.

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