Aharonov-Bohm Ring Touching A Quantum Wire: How To Model It And To Solve The Inverse Problem

Research output: Contribution to journalArticle

Abstract

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.

Details

Authors
  • Pavel Kurasov
  • Magnus Enerback
Organisations
Research areas and keywords

Subject classification (UKÄ) – MANDATORY

  • Mathematics

Keywords

  • quantum graphs, inverse problems
Original languageEnglish
Pages (from-to)271-287
JournalReports on Mathematical Physics
Volume68
Issue number3
Publication statusPublished - 2011
Publication categoryResearch
Peer-reviewedYes