Quantum Graphs

This is a book devoted to the spectral theory of Schrödinger operator on metric graphs (also known as "quantum graphs"). Every theoretical concept is to be illustrated by studying in detail several examples. The exposition is to be kept as elementary and accessible as possible.

Table of Contents

 * Introduction
 * Schrödinger equation on a metric graph
 * Vertex (Matching) Conditions
 * Secular Determinant
 * Dirichlet-to-Neumann Map