Inverse problems for Aharonov-Bohm rings
(2010) In Mathematical Proceedings of the Cambridge Philosophical Society 148. p.331-362- Abstract
- The inverse problem for Schrodinger operators on metric graphs is investigated in the presence of magnetic field. Graphs without loops and with Euler characteristic zero are considered. It is shown that the knowledge of the Tachmarsh-Weyl matrix function (Dirichletto-Neumann map) for just two values of the magnetic field allows one to reconstruct the graph and potential on it provided a certain additional no-resonance condition is satisfied.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/1586974
- author
- Kurasov, Pavel LU
- organization
- publishing date
- 2010
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Mathematical Proceedings of the Cambridge Philosophical Society
- volume
- 148
- pages
- 331 - 362
- publisher
- Cambridge University Press
- external identifiers
-
- wos:000276134300008
- scopus:77952548222
- ISSN
- 1469-8064
- DOI
- 10.1017/S030500410999034X
- language
- English
- LU publication?
- yes
- id
- 85278b76-a355-4fc3-8006-42ac85c889eb (old id 1586974)
- date added to LUP
- 2016-04-01 14:13:51
- date last changed
- 2022-02-27 01:33:08
@article{85278b76-a355-4fc3-8006-42ac85c889eb, abstract = {{The inverse problem for Schrodinger operators on metric graphs is investigated in the presence of magnetic field. Graphs without loops and with Euler characteristic zero are considered. It is shown that the knowledge of the Tachmarsh-Weyl matrix function (Dirichletto-Neumann map) for just two values of the magnetic field allows one to reconstruct the graph and potential on it provided a certain additional no-resonance condition is satisfied.}}, author = {{Kurasov, Pavel}}, issn = {{1469-8064}}, language = {{eng}}, pages = {{331--362}}, publisher = {{Cambridge University Press}}, series = {{Mathematical Proceedings of the Cambridge Philosophical Society}}, title = {{Inverse problems for Aharonov-Bohm rings}}, url = {{http://dx.doi.org/10.1017/S030500410999034X}}, doi = {{10.1017/S030500410999034X}}, volume = {{148}}, year = {{2010}}, }