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Commutation methods for Schrödinger operators with strongly singular potentials

✍ Scribed by Aleksey Kostenko; Alexander Sakhnovich; Gerald Teschl

Publisher
John Wiley and Sons
Year
2011
Tongue
English
Weight
200 KB
Volume
285
Category
Article
ISSN
0025-584X

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✦ Synopsis

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 Schrödinger operators (also known as Bessel operators). We also investigate the connections with the generalized Bäcklund–Darboux transformation.

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