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Titlebook: Quantum Waveguides; Pavel Exner,Hynek Kovařík Book 2015 Springer International Publishing Switzerland 2015 Electric Field.Geometrically In

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发表于 2025-3-21 18:10:56 | 显示全部楼层 |阅读模式
书目名称Quantum Waveguides
编辑Pavel Exner,Hynek Kovařík
视频video
概述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 extensi
丛书名称Theoretical and Mathematical Physics
图书封面Titlebook: Quantum Waveguides;  Pavel Exner,Hynek Kovařík Book 2015 Springer International Publishing Switzerland 2015 Electric Field.Geometrically In
描述.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..
出版日期Book 2015
关键词Electric Field; Geometrically Induced Bound States; Magnetic Field; Partial Differential Operators; Pert
版次1
doihttps://doi.org/10.1007/978-3-319-18576-7
isbn_softcover978-3-319-36556-5
isbn_ebook978-3-319-18576-7Series ISSN 1864-5879 Series E-ISSN 1864-5887
issn_series 1864-5879
copyrightSpringer International Publishing Switzerland 2015
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发表于 2025-3-21 20:37:02 | 显示全部楼层
Transport in Locally Perturbed Tubes,es with the energy below that of the incident particle. Resonances in such systems are of particular interest. They may arise from a violation of a symmetry preventing passages between certain transverse modes. They may appear also in other situations, for instance, in thin bent tubes where they are
发表于 2025-3-22 02:18:15 | 显示全部楼层
More About the Waveguide Spectra,binding energies. They also exist in higher dimensions and for other type of boundaries. Even in acoustic waveguides one can find localized solutions but their energies are embedded in the continuum and a particular symmetry is required; its violation leads to the emergence of resonances. Also many-
发表于 2025-3-22 07:13:04 | 显示全部楼层
Dirichlet Layers,ed suitable conditions are satisfied, for instance, non-positivity of the total Gauss curvature, a sufficiently small layer thickness, or a cylindrical symmetry, yet another sufficient condition is a topological nontriviality of the generating surface. Other mechanisms, such as a lateral coupling of
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External Fields and Magnetic Transport,e of magnetic fields opens even more possibilities. Local magnetic fields lead to a Hardy-type inequality which can prevent binding. A homogeneous magnetic field can, for instance, destroy a particular symmetry and produce thus resonance states. More important, it can also induce transport in the fo
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Periodic and Random Systems,res. This is discussed here for the particular case of a periodically curved waveguide. It does not exhaust interesting features of such systems: the spectral structure is discussed in the example of periodic point perturbations of tubes and layers, also in presence of a magnetic field. On the other
发表于 2025-3-23 06:16:30 | 显示全部楼层
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