Quantum graphs via exercises

Ram Band, Sven Gnutzmann

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

Abstract

Studying the spectral theory of Schrödinger operator on metric graphs (also known as “quantum graphs”) is advantageous on its own as well as to demonstrate key concepts of general spectral theory. There are some excellent references for this study such as a book by Berkolaiko and Kuchment (mathematically oriented book), a review by Gnutzmann and Smilansky (re-view with applications to theoretical physics), and lecture notes by Berkolaiko (elementary lecture notes). Here, we provide a set of questions and exercises which can accompany the reading of these references or an elementary course on quantum graphs. The exercises are taken from courses on quantum graphs which were taught by the authors.

Original languageEnglish
Title of host publicationContemporary Mathematics
Pages187-203
Number of pages17
DOIs
StatePublished - 2018

Publication series

NameContemporary Mathematics
Volume720
ISSN (Print)0271-4132
ISSN (Electronic)1098-3627

ASJC Scopus subject areas

  • General Mathematics

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