%0 Journal Article
%T Homogeneous Schr£żdinger operators on half-line
%A Laurent Bruneau
%A Jan Derezinski
%A Vladimir Georgescu
%J Mathematics
%D 2009
%I arXiv
%X The differential expression $L_m=-\partial_x^2 +(m^2-1/4)x^{-2}$ defines a self-adjoint operator H_m on L^2(0;\infty) in a natural way when $m^2 \geq 1$. 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.
%U http://arxiv.org/abs/0911.5569v1