TY - CHAP
T1 - Quantum graphs via exercises
AU - Band, Ram
AU - Gnutzmann, Sven
N1 - Publisher Copyright:
©2018 American Mathematical Society.
PY - 2018
Y1 - 2018
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85059754498&partnerID=8YFLogxK
U2 - 10.1090/conm/720/14525
DO - 10.1090/conm/720/14525
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AN - SCOPUS:85059754498
T3 - Contemporary Mathematics
SP - 187
EP - 203
BT - Contemporary Mathematics
ER -