Absolutely continuous spectrum of multidimensional Schrodinger operator
Analysis of PDEs
2007-05-23 v1 Mathematical Physics
math.MP
Abstract
We prove that 3-dimensional Schrodinger operator with slowly decaying potential has an absolutely continuous spectrum that fills the positive half-line. The asymptotics of Green's function is obtained as well.
Keywords
Cite
@article{arxiv.math/0408376,
title = {Absolutely continuous spectrum of multidimensional Schrodinger operator},
author = {S. A. Denisov},
journal= {arXiv preprint arXiv:math/0408376},
year = {2007}
}