Hynek Kova¿ík: Quantum Waveguides

Cover: 9783319185750 | Quantum Waveguides | Hynek Kova¿ík (u. a.) | Buch | xxii | Englisch

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Sprache: Englisch

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Beschreibung

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.

Über den Autor

Pavel Exner is a Czech mathematical physicist.

Hynek Koväík 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.

Zusammenfassung

Provides a comprehensive and rigorous exposition of the theory of quantum waveguides

Covers a wide range of mathematical problems arising in this young but actively developing area

Includes an extensive bibliography

Includes supplementary material: [...]

Inhaltsverzeichnis

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.

Details

Erscheinungsjahr:	2015
Fachbereich:	Astronomie
Genre:	Physik
Rubrik:	Naturwissenschaften & Technik
Thema:	Lexika
Medium:	Buch
Reihe:	Theoretical and Mathematical Physics
Inhalt:	xxii 382 S. 6 s/w Illustr. 3 farbige Illustr. 382 p. 9 illus. 3 illus. in color.
ISBN-13:	9783319185750
ISBN-10:	3319185756
Sprache:	Englisch
Herstellernummer:	978-3-319-18575-0
Ausstattung / Beilage:	HC runder Rücken kaschiert
Einband:	Gebunden
Autor:	Kova¿ík, Hynek Exner, Pavel
Hersteller:	Springer Nature Switzerland Springer International Publishing Springer International Publishing AG Theoretical and Mathematical Physics
Maße:	241 x 160 x 28 mm
Von/Mit:	Hynek Kova¿ík (u. a.)
Erscheinungsdatum:	10.06.2015
Gewicht:	0,77 kg

Artikel-ID: 104751627