Inverse Problems for Quantum Graphs: Recent Developments and Perspectives
2011 (English)In: Acta Physica Polonica. A, ISSN 0587-4246, Vol. 120, no 6A, A132-A141 p.Article in journal (Refereed) Published
An introduction into the area of inverse problems for the Schrodinger operators on metric graphs is given. The case of metric finite trees is treated in detail with the focus on matching conditions. For graphs with loops we show that for almost all matching conditions the potential on the loop is not determined uniquely by the Titchmarsh-Weyl function. The class of all admissible potentials is characterized.
Place, publisher, year, edition, pages
2011. Vol. 120, no 6A, A132-A141 p.
IdentifiersURN: urn:nbn:se:su:diva-74570ISI: 000301171100032OAI: oai:DiVA.org:su-74570DiVA: diva2:510685