Homogeneous Schr\"odinger operators on half-line
Functional Analysis
2009-12-01 v1 Mathematical Physics
math.MP
Abstract
The differential expression defines a self-adjoint operator H_m on L^2(0;\infty) in a natural way when . We study the dependence of H_m on the parameter m, show that it has a unique holomorphic extension to the half-plane Re(m) > -1, and analyze spectral and scattering properties of this family of operators.
Cite
@article{arxiv.0911.5569,
title = {Homogeneous Schr\"odinger operators on half-line},
author = {Laurent Bruneau and Jan Derezinski and Vladimir Georgescu},
journal= {arXiv preprint arXiv:0911.5569},
year = {2009}
}