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Quantum Graphs via Exercises
Studying the spectral theory of Schroedinger 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 mathematically oriented book by Berkolaiko and
Kuchment, a review with applications to theoretical physicsby Gnutzmann and
Smilansky, and elementary lecture notes by Berkolaiko. 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
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