Berkolaiko and Kuchment (Texas A&M) examine metric graphs equipped with differential operators, scattering on vertices, the spectral structure of quantum graph Hamiltonians, spectra of periodic graphs, and the spectrum theory of quantum graphs. The last two chapters of the advanced textbook review graphs as models for quantum chaos and indicate applications to inverse problems, wave propagation, and differential equations. Annotation ©2013 Book News, Inc., Portland, OR (booknews.com)
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Gebunden. Zustand: New. KlappentextrnrnWorks that currently would be classified as discussing quantum graphs have been appearing since at least the 1930s, and since then, quantum graphs techniques have been applied successfully in various areas of mathematical physics,. Artikel-Nr. 693090761
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Buch. Zustand: Neu. Neuware - Works that currently would be classified as discussing quantum graphs have been appearing since at least the 1930s, and since then, quantum graphs techniques have been applied successfully in various areas of mathematical physics, mathematics in general and its applications. Quantum graphs present many non-trivial mathematical challenges, which makes them dear to a mathematician's heart. This provides a comprehensive introduction, collecting the main notions and techniques. It also contains a survey of the current state of the quantum graph research and applications. Artikel-Nr. 9780821892114
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