On the Inverse Problem for Quantum Graphs with One Cycle

Pavel Kurasov

Research output: Chapter in Book/Report/Conference proceedingPaper in conference proceedingpeer-review

6 Citations (SciVal)

Abstract

Quantum graphs having one cycle are considered. It is shown that if the cycle contains at least three vertices. then the potential oil the graph can be uniquely reconstructed from the corresponding Titchmarsh-Weyl function (Dirichlet-to-Neumann map) associated with graph's boundary, provided certain non-resonant conditions are satisfied
Original languageEnglish
Title of host publicationActa Physica Polonica A
PublisherPolish Academy of Sciences
Pages765-771
Volume116
Publication statusPublished - 2009
Event4th Workshop on Quantum Chaos and Localisation Phenomena - Warsaw, Poland
Duration: 2009 May 222009 May 24

Publication series

Name
Number5
Volume116
ISSN (Print)0587-4246

Conference

Conference4th Workshop on Quantum Chaos and Localisation Phenomena
Country/TerritoryPoland
CityWarsaw
Period2009/05/222009/05/24

Subject classification (UKÄ)

  • Mathematics

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