Inverse problems for Aharonov-Bohm rings
Research output: Contribution to journal › Article
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.
|Research areas and keywords||
Subject classification (UKÄ) – MANDATORY
|Journal||Mathematical Proceedings of the Cambridge Philosophical Society|
|Publication status||Published - 2010|