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Quantum waveguides

Exner, Pavel.

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Quantum waveguides

Record Type:	Electronic resources : Monograph/item
Title/Author:	Quantum waveguides/ by 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.
[NT 15003449]:	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.
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:

516552
Quantum theory.

LC Class. No.: QC174.12

Dewey Class. No.: 530.124

Quantum waveguides
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100 1 $a Exner, Pavel. $3 924030
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.
650 0 $a Quantum theory. $3 516552
650 0 $a Quantum theory $x Mathematical models. $3 612475
650 0 $a Wave mechanics. $3 560128
650 0 $a Wave guides. $3 649361
650 1 4 $a Physics. $3 516296
650 2 4 $a Mathematical Methods in Physics. $3 890898
650 2 4 $a Ordinary Differential Equations. $3 891264
650 2 4 $a Quantum Physics. $3 893952
650 2 4 $a Theoretical, Mathematical and Computational Physics. $3 1066859
650 2 4 $a Operator Theory. $3 897311
700 1 $a Kovarik, Hynek. $3 2153662
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
830 0 $a Theoretical and mathematical physics. $3 1566264
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-18576-7
950 $a Physics and Astronomy (Springer-11651)