Inverse problems for Aharonov-Bohm rings

Research output: Contribution to journalArticle

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.

Details

Authors
  • Pavel Kurasov
Organisations
Research areas and keywords

Subject classification (UKÄ) – MANDATORY

  • Mathematics
Original languageEnglish
Pages (from-to)331-362
JournalMathematical Proceedings of the Cambridge Philosophical Society
Volume148
Publication statusPublished - 2010
Publication categoryResearch
Peer-reviewedYes