Commutation Methods for Schroedinger Operators with Strongly Singular Potentials
Spectral Theory
2012-02-22 v2 Mathematical Physics
math.MP
Abstract
We explore the connections between singular Weyl-Titchmarsh theory and the single and double commutation methods. In particular, we compute the singular Weyl function of the commuted operators in terms of the original operator. We apply the results to spherical Schroedinger operators (also known as Bessel operators). We also investigate the connections with the generalized Baecklund-Darboux transformation.
Keywords
Cite
@article{arxiv.1010.4902,
title = {Commutation Methods for Schroedinger Operators with Strongly Singular Potentials},
author = {Aleksey Kostenko and Alexander Sakhnovich and Gerald Teschl},
journal= {arXiv preprint arXiv:1010.4902},
year = {2012}
}
Comments
21 pages