Quantum Graphs and Their Applications

Released on by Gregory Berkolaiko
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  • Quantum Graphs and Their Applications Book Detail

  • Author : Gregory Berkolaiko
  • Release Date : 2006
  • Publisher : American Mathematical Soc.
  • Genre : Mathematics
  • Pages : 322
  • ISBN 13 : 0821837656
  • File Size : 75,75 MB
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Quantum Graphs and Their Applications by Gregory Berkolaiko PDF Summary

Book Description: 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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Quantum Graphs and Their Applications

Quantum Graphs and Their Applications

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This volume is a collection of articles dedicated to quantum graphs, a newly emerging interdisciplinary field related to various areas of mathematics and physic

Introduction to Quantum Graphs

Introduction to Quantum Graphs

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A ``quantum graph'' is a graph considered as a one-dimensional complex and equipped with a differential operator (``Hamiltonian''). Quantum graphs arise natural

Graphs on Surfaces and Their Applications

Graphs on Surfaces and Their Applications

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Graphs drawn on two-dimensional surfaces have always attracted researchers by their beauty and by the variety of difficult questions to which they give rise. Th