@inbook{7c102c01f07244b9bd34c4cfda8672d3,
title = "Quantum graphs via exercises",
abstract = "Studying the spectral theory of Schr{\"o}dinger operator on metric graphs (also known as {\textquotedblleft}quantum graphs{\textquotedblright}) 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.",
author = "Ram Band and Sven Gnutzmann",
note = "Funding Information: The first author was supported by ISF (Grant No. 494/14) and Marie Curie Actions (Grant No. PCIG13-GA-2013-618468). Funding Information: The first author was supported by ISF (Grant No. 494/14) and Marie Curie Actions (Grant No. PCIG13-GA-2013-618468).We thank the referee whose critical remarks and constructive suggestions has lead to a profound improvement of the manuscript. Publisher Copyright: {\textcopyright}2018 American Mathematical Society.",
year = "2018",
doi = "10.1090/conm/720/14525",
language = "English",
series = "Contemporary Mathematics",
publisher = "American Mathematical Society",
pages = "187--203",
booktitle = "Contemporary Mathematics",
address = "United States",
}