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Quantum Graphs and Their Applications
Language: en
Pages: 322
Authors: Gregory Berkolaiko
Categories: Mathematics
Type: BOOK - Published: 2006 - Publisher: American Mathematical Soc.

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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
Language: en
Pages: 291
Authors: Gregory Berkolaiko
Categories: Mathematics
Type: BOOK - Published: 2013 - Publisher: American Mathematical Soc.

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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
Language: en
Pages: 463
Authors: Sergei K. Lando
Categories: Mathematics
Type: BOOK - Published: 2013-04-17 - Publisher: Springer Science & Business Media

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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
Quantum Probability and Spectral Analysis of Graphs
Language: en
Pages: 384
Authors: Akihito Hora
Categories: Science
Type: BOOK - Published: 2007-07-05 - Publisher: Springer Science & Business Media

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This is the first book to comprehensively cover quantum probabilistic approaches to spectral analysis of graphs, an approach developed by the authors. The book
A von Neumann Algebra Approach to Quantum Metrics/Quantum Relations
Language: en
Pages: 153
Authors: Greg Kuperberg
Categories: Mathematics
Type: BOOK - Published: 2012 - Publisher: American Mathematical Soc.

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In A von Neumann Algebra Approach to Quantum Metrics, Kuperberg and Weaver propose a new definition of quantum metric spaces, or W*-metric spaces, in the settin