Inverse spectral problem for quantum graphs

Pavel Kurasov, Marlena Nowaczyk

Research output: Contribution to journalArticlepeer-review

82 Citations (SciVal)

Abstract

The inverse spectral problem for the Laplace operator on a finite metric graph is investigated. It is shown that this problem has a unique solution for graphs with rationally independent edges and without vertices having valence 2. To prove the result, a trace formula connecting the spectrum of the Laplace operator with the set of periodic orbits for the metric graph is established.
Original languageEnglish
Pages (from-to)4901-4915
JournalJournal of Physics A: Mathematical and General
Volume38
Issue number22
DOIs
Publication statusPublished - 2005

Subject classification (UKÄ)

  • Mathematics

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