Commutation Methods for Schroedinger Operators with Strongly Singular Potentials

Details Commutation Methods for Schroedinger Operators with Strongly Singular Potentials Commutation Methods for Schroedinger Operators with Strongly Singular Potentials

2010-10-23

arxiv.org/abs/1010.4902v2

Math. Nachr. 285, 392-410 (2012)

Mathematics

Spectral Theory

21 pages

Scientific paper

10.1002/mana.201000108

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.

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