Quantum Graphs and Their Applications (Contemporary Mathematics)

✍ Scribed by Robert Carlson, Stephen A. Fulling, and Peter Kuchment Gregory Berkolaiko

Publisher: American Mathematical Society
Year: 2006
Tongue: English
Leaves: 320
Series: Contemporary Mathematics 415
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

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.

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