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Introduction to Quantum Graphs (Mathematical Surveys and Monographs)

Gregory Berkolaiko, Peter Kuchment




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 | #3454882 in Books |  2012-12-27 | Original language:English | PDF # 1 |  10.25 x7.00 x.75l,1.45 | File type: PDF | 270 pages

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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 naturally as simplified models in mathematics, physics, chemistry, and engineering when one considers propagation of waves of various nature through a quasi-one-dimensional (e.g., "meso-" or "nano-scale") system that looks like a thin neighborhood of a graph. Works that currently would be classified as discussing quantum gra...

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