A Mourre estimate for a Schroedinger operator on a binary tree
Allard, C. ; Froese, R.
arXiv, 9807007 / Harvested from arXiv
Text on arXiv
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.
Publié le : 1998-07-09
Classification:  Mathematical Physics 
@article{9807007,
     author = {Allard, C. and Froese, R.},
     title = {A Mourre estimate for a Schroedinger operator on a binary tree},
     journal = {arXiv},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9807007}
}

Allard, C.; Froese, R. A Mourre estimate for a Schroedinger operator on a binary tree. arXiv, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/9807007/