A Mourre estimate for a Schroedinger operator on a binary tree
Mathematical Physics
2007-05-23 v1 math.MP
Abstract
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.
Cite
@article{arxiv.math-ph/9807007,
title = {A Mourre estimate for a Schroedinger operator on a binary tree},
author = {C. Allard and R. Froese},
journal= {arXiv preprint arXiv:math-ph/9807007},
year = {2007}
}
Comments
Latex2e, 12 pages, 2 eps figures included, Presented at the Louisville AMS meeting, March 20-21, 1998