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

Genistein

1864-5879 this young but actively developing area.Includes an extensi.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 an

木訥

Book 2015tworks, 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 uni

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Transport in Locally Perturbed Tubes,mmetry preventing passages between certain transverse modes. They may appear also in other situations, for instance, in thin bent tubes where they are situated in the vicinity of the transverse thresholds and their widths are exponentially small in terms of the tube diameter.

Etymology

自制

Point Perturbations,explicitly solvable in terms of the unperturbed tube or layer Green’s function. Finding of both the bound states and the scattering on such impurities is then essentially reduced to an algebraic problem.

LEER

Weakly Coupled Bound States,trated here on waveguides with a small and critical deformation. The other possibility is represented by matching the solutions in different parts of the guide; this method is particularly suitable for waveguides with perturbations situated far from each other.

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External Fields and Magnetic Transport,netic field can, for instance, destroy a particular symmetry and produce thus resonance states. More important, it can also induce transport in the form of various edge states. An example is presented that such states may exist even in situations having no classical analogue.

intoxicate

Graph Limits of Thin Network Systems,ne can ask whether all such couplings can be obtained by squeezing networks of finite-diameter tubes. An affirmative answer is given here for tubes with Neumann-type boundaries. For Dirichlet boundaries the limit is substantially different and it is illustrated here on a particular case.

Aromatic