Quantum Waveguides by Pavel ExnerQuantum Waveguides by Pavel Exner

Quantum Waveguides

byPavel Exner, Hynek Kova

Hardcover | June 10, 2015

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This monograph explains the theory of quantum waveguides, that is, dynamics of quantum particles confined to regions in the form of tubes, layers, networks, etc. The focus is on relations between the confinement geometry on the one hand and the spectral and scattering properties of the corresponding quantum Hamiltonians on the other. Perturbations of such operators, in particular, by external fields are also considered. The volume provides a unique summary of twenty-five years of research activity in this area and indicates ways in which the theory can develop further.

The book is fairly self-contained. While it requires some broader mathematical physics background, all the basic concepts are properly explained and proofs of most theorems are given in detail, so there is no need for additional sources. Without a parallel in the literature, the monograph by Exner and Kovarik guides the reader through this new and exciting field.

Pavel Exner is a Czech mathematical physicist.Hynek KovaÅík is an Assistant Professor in Mathematics at Università degli studi di Brescia. His areas of research cover problems in spectral theory of differential operators and functional analysis which arise from quantum physics.
Title:Quantum WaveguidesFormat:HardcoverDimensions:382 pagesPublished:June 10, 2015Publisher:Springer-Verlag/Sci-Tech/TradeLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:3319185756

ISBN - 13:9783319185750

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Table of Contents

Geometrically Induced Bound States.- Transport in locally perturbed tubes.- More about the waveguide spectra.- Dirichlet Layers.- Point Perturbations.- Weakly Coupled Bound States.- External Fields and Magnetic Transport.- Graph Limits of Thin Network Systems.- Periodic and Random Systems.- Leaky Waveguides.