Quantum Waveguides

• Main Authors: Exner, Pavel (Author), Kovařík, Hynek (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2015.
• Series: Theoretical and Mathematical Physics,
• Subjects: Physics.; Operator theory.; Differential equations.; Quantum physics.; Mathematical Methods in Physics.; Ordinary Differential Equations.; Quantum Physics.; Theoretical, Mathematical and Computational Physics.; Operator Theory.

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...

Table of Contents:

• 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.