An Operator Theoretic Interpretation of the Generalized Titchmarsh-Weyl Coefficient for a Singular Sturm-Liouville Problem
(2011) In Mathematical Physics, Analysis and Geometry 14(2). p.115-151- Abstract
- In this article an operator theoretic interpretation of the generalized Titchmarsh-Weyl coefficient for the Hydrogen atom differential expression is given. As a consequence we obtain a new expansion theorem in terms of singular generalized eigenfunctions.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/1986793
- author
- Kurasov, Pavel LU and Luger, Annemarie LU
- organization
- publishing date
- 2011
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Titchmarsh-Weyl coefficient, Singular differential operator, Generalized Nevanlinna function, Supersingular perturbation
- in
- Mathematical Physics, Analysis and Geometry
- volume
- 14
- issue
- 2
- pages
- 115 - 151
- publisher
- Springer
- external identifiers
-
- wos:000290579900002
- scopus:79956048614
- ISSN
- 1385-0172
- DOI
- 10.1007/s11040-011-9090-6
- language
- English
- LU publication?
- yes
- id
- 6d2c460a-6736-442f-be01-61683cc8ac18 (old id 1986793)
- date added to LUP
- 2016-04-01 14:52:07
- date last changed
- 2022-01-28 02:58:50
@article{6d2c460a-6736-442f-be01-61683cc8ac18, abstract = {{In this article an operator theoretic interpretation of the generalized Titchmarsh-Weyl coefficient for the Hydrogen atom differential expression is given. As a consequence we obtain a new expansion theorem in terms of singular generalized eigenfunctions.}}, author = {{Kurasov, Pavel and Luger, Annemarie}}, issn = {{1385-0172}}, keywords = {{Titchmarsh-Weyl coefficient; Singular differential operator; Generalized Nevanlinna function; Supersingular perturbation}}, language = {{eng}}, number = {{2}}, pages = {{115--151}}, publisher = {{Springer}}, series = {{Mathematical Physics, Analysis and Geometry}}, title = {{An Operator Theoretic Interpretation of the Generalized Titchmarsh-Weyl Coefficient for a Singular Sturm-Liouville Problem}}, url = {{http://dx.doi.org/10.1007/s11040-011-9090-6}}, doi = {{10.1007/s11040-011-9090-6}}, volume = {{14}}, year = {{2011}}, }