Titlebook: Binding and Scattering in Two-Dimensional Systems; Applications to Quan J. Timothy Londergan,John P. Carini,David P. Murdo Book 1999 Spring

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Bound States in Low-Dimensional Systems,he motion of electrons in quantum heterostructures (a . to a semiconductor composed of a series of different materials). For the systems discussed in this book, the motion of electrons in one dimension is restricted. Frequently the electron motion in one dimension can be confined to a single quantum

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Two-Dimensional Systems with Finite Periodic Structure,ts, or “cells.” In this chapter that analysis will be extended to treat systems which contain a finite periodic series of identical cells. The qualitative features of bound states, transmission and conductance will be derived for such systems. The structure which emerges in systems consisting of ide

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Localized Modes in Photonic Crystals,cussed these properties in the context of electron propagation in quantum wires, and the transmission of microwaves in waveguides. Localized modes can also arise in optical systems. For example, in Sect. 6.4.1 we showed that trapped modes localized at a “defect” in a layered quantum heterostructure

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Epilogue,erent phenomena which appear in very simple geometries. In many cases we were able to construct accurate analytic approximations of simple 2-D systems. These constrained 2-D systems exhibit a fascinating array of structure, including localized states both below and above continuum threshold, trapped

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Comparison of Various Approximate Quantum Wells,n quantum heterostructures or EM fields in rectangular waveguides) are assumed to move essentially in two dimensions. Their motion is further constrained by an effective interaction which confines them to a finite area. For the effective confining force, we have taken a square well of infinite depth

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