Homogeneous Schrödinger operators on half-line

Details Homogeneous Schrödinger operators on half-line Homogeneous Schrödinger operators on half-line

2009-11-30

arxiv.org/abs/0911.5569v1

Mathematics

Functional Analysis

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Homogeneous Schrödinger operators on half-line does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Homogeneous Schrödinger operators on half-line, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Homogeneous Schrödinger operators on half-line will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-148869