Quantum site percolation on amenable graphs
Mathematical Physics
2016-01-07 v2 math.MP
Spectral Theory
Abstract
We consider the quantum site percolation model on graphs with an amenable group action. It consists of a random family of Hamiltonians. Basic spectral properties of these operators are derived: non-randomness of the spectrum and its components, existence of an self-averaging integrated density of states and an associated trace-formula.
Cite
@article{arxiv.math-ph/0308041,
title = {Quantum site percolation on amenable graphs},
author = {Ivan Veselic'},
journal= {arXiv preprint arXiv:math-ph/0308041},
year = {2016}
}
Comments
10 pages, LaTeX 2e, to appear in "Applied Mathematics and Scientific Computing", Brijuni, June 23-27, 2003. by Kluwer publishers