Aharonov-Bohm Ring Touching A Quantum Wire: How To Model It And To Solve The Inverse Problem
Research output: Contribution to journal › Article
An explicitly solvable model of the gated Aharonov-Bohm ring touching a quantum wire is constructed and investigated. The inverse spectral and scattering problems are discussed. It is shown that the Titchmarsh-Weyl matrix function associated with the boundary vertices determines a unique electric potential on the graph even though the graph contains a loop. This system gives another family of isospectral quantum graphs.
|Research areas and keywords||
Subject classification (UKÄ) – MANDATORY
|Journal||Reports on Mathematical Physics|
|Publication status||Published - 2011|