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Quantum waveguides

Exner, Pavel.

Quantum waveguides

Record Type:	Electronic resources : Monograph/item
Title/Author:	Quantum waveguidesby Pavel Exner, Hynek Kovarik.
Author:	Exner, Pavel.
other author:	Kovarik, Hynek.
Published:	Cham :Springer International Publishing :2015.
Description:	xxii, 382 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Quantum theory.
Online resource:	http://dx.doi.org/10.1007/978-3-319-18576-7
ISBN:	9783319185767 (electronic bk.)

Quantum waveguides
Exner, Pavel.

Quantum waveguides[electronic resource] /by Pavel Exner, Hynek Kovarik. - Cham :Springer International Publishing :2015. - xxii, 382 p. :ill., digital ;24 cm. - Theoretical and mathematical physics,1864-5879. - Theoretical and mathematical physics..

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.

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.

ISBN: 9783319185767 (electronic bk.)

Standard No.: 10.1007/978-3-319-18576-7doiSubjects--Topical Terms:

199020
Quantum theory.

LC Class. No.: QC174.12

Dewey Class. No.: 530.124

Quantum waveguides
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245 1 0 $a Quantum waveguides $h [electronic resource] / $c by Pavel Exner, Hynek Kovarik.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2015.
300 $a xxii, 382 p. : $b ill., digital ; $c 24 cm.
490 1 $a Theoretical and mathematical physics, $x 1864-5879
505 0 $a 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.
520 $a 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.
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650 0 $a Wave guides. $3 182227
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650 2 4 $a Theoretical, Mathematical and Computational Physics. $3 376743
650 2 4 $a Operator Theory. $3 274795
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