On the preservation of absolutely continuous spectrum for Schrodinger operators
Mathematical Physics
2007-05-23 v2 math.MP
Spectral Theory
Abstract
We present general principles for the preservation of a.c. spectrum under weak perturbations. The Schrodinger operators on the strip and on the Caley tree (Bethe lattice) are considered.
Keywords
Cite
@article{arxiv.math-ph/0501046,
title = {On the preservation of absolutely continuous spectrum for Schrodinger operators},
author = {Sergey A. Denisov},
journal= {arXiv preprint arXiv:math-ph/0501046},
year = {2007}
}
Comments
Corrected and extended version