Weyl-Titchmarsh-type formula for periodic Schrodinger operator with Wigner-von Neumann potential
(2013) In Proceedings of the Royal Society of Edinburgh. Section A 143(2). p.401-425- Abstract
- The Schrodinger operator on the half-line with periodic background potential perturbed by a certain potential of Wigner-von Neumann type is considered. The asymptotics of generalized eigenvectors for lambda is an element of C+ and on the absolutely continuous spectrum is established. The Weyl-Titchmarsh-type formula for this operator is proven.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/4102018
- author
- Kurasov, Pavel LU and Simonov, Sergey
- organization
- publishing date
- 2013
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Proceedings of the Royal Society of Edinburgh. Section A
- volume
- 143
- issue
- 2
- pages
- 401 - 425
- publisher
- Royal Society of Edinburgh
- external identifiers
-
- wos:000324526300008
- scopus:84875129593
- ISSN
- 0308-2105
- DOI
- 10.1017/S0308210510001666
- language
- English
- LU publication?
- yes
- id
- d7b2914d-708e-4c9d-9b9b-120ae74a328e (old id 4102018)
- date added to LUP
- 2016-04-01 13:49:14
- date last changed
- 2022-01-27 21:16:09
@article{d7b2914d-708e-4c9d-9b9b-120ae74a328e, abstract = {{The Schrodinger operator on the half-line with periodic background potential perturbed by a certain potential of Wigner-von Neumann type is considered. The asymptotics of generalized eigenvectors for lambda is an element of C+ and on the absolutely continuous spectrum is established. The Weyl-Titchmarsh-type formula for this operator is proven.}}, author = {{Kurasov, Pavel and Simonov, Sergey}}, issn = {{0308-2105}}, language = {{eng}}, number = {{2}}, pages = {{401--425}}, publisher = {{Royal Society of Edinburgh}}, series = {{Proceedings of the Royal Society of Edinburgh. Section A}}, title = {{Weyl-Titchmarsh-type formula for periodic Schrodinger operator with Wigner-von Neumann potential}}, url = {{http://dx.doi.org/10.1017/S0308210510001666}}, doi = {{10.1017/S0308210510001666}}, volume = {{143}}, year = {{2013}}, }