Weakly coupled Schroedinger operators on regular metric trees
Mathematical Physics
2010-05-05 v1 math.MP
Abstract
Spectral properties of the Schroedinger operator on regular metric trees are studied. It is shown that as goes to zero the behavior of the negative eigenvalues of depends on the global structure of the tree.
Keywords
Cite
@article{arxiv.math-ph/0608013,
title = {Weakly coupled Schroedinger operators on regular metric trees},
author = {Hynek Kovarik},
journal= {arXiv preprint arXiv:math-ph/0608013},
year = {2010}
}