Dispersion Estimates for Spherical Schr\"odinger Equations with Critical Angular Momentum
Spectral Theory
2018-06-13 v2 Mathematical Physics
Analysis of PDEs
math.MP
Abstract
We derive a dispersion estimate for one-dimensional perturbed radial Schr\"odinger operators where the angular momentum takes the critical value . We also derive several new estimates for solutions of the underlying differential equation and investigate the behavior of the Jost function near the edge of the continuous spectrum.
Cite
@article{arxiv.1611.05210,
title = {Dispersion Estimates for Spherical Schr\"odinger Equations with Critical Angular Momentum},
author = {Markus Holzleitner and Aleksey Kostenko and Gerald Teschl},
journal= {arXiv preprint arXiv:1611.05210},
year = {2018}
}
Comments
23 pages. arXiv admin note: text overlap with arXiv:1504.03015