This volume is a collection of articles dedicated to quantum graphs, a newly emerging interdisciplinary field related to various areas of mathematics and physics. The reader can find a broad overview of the theory of quantum graphs. The articles present methods coming from different areas of mathematics: number theory, combinatorics, mathematical physics, differential equations, spectral theory, global analysis, and theory of fractals. They also address various important applications, such as Anderson localization, electrical networks, quantum chaos, mesoscopic physics, superconductivity, optics, and biological modeling.References [1] G. Berkolaiko, Form factor expansion for large graphs: a diagrammatic approach, this volunne. ... [13] V. Kostrykin and R. Schrader, Kirchhoffa#39;s rule for quantum wires, J. Phys. A: Math. ... [18] S. MA¼ller, S. Heusler, P . Braun, F. Haake, and A. Altland, Periodic orbit theory of universality in quantum chaos, Phys.

Title | : | Quantum Graphs and Their Applications |

Author | : | Gregory Berkolaiko |

Publisher | : | American Mathematical Soc. - 2006 |

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