Wave propagation through sparse potential barriers
Mathematical Physics
2007-05-23 v1 Analysis of PDEs
math.MP
Abstract
We prove that 3-dimensional Schrodinger operator with slowly decaying sparse potential has an a.c. spectrum that fills positive half-line. A new kind of WKB asymptotics for Green's function is found. The absense of positive eigenvalues is established as well.
Cite
@article{arxiv.math-ph/0511008,
title = {Wave propagation through sparse potential barriers},
author = {Sergey A. Denisov},
journal= {arXiv preprint arXiv:math-ph/0511008},
year = {2007}
}