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Inverse problems for Aharonov-Bohm rings

Kurasov, Pavel LU (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.
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author
organization
publishing date
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
2010-04-27 10:37:07
date last changed
2018-06-10 04:17:06
@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},
  volume       = {148},
  year         = {2010},
}