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Corresponding Author

El_Mashade, Mohamed

Subject Area

Electrical Engineering

Article Type

Original Study

Abstract

The reduction in dimensionality produced by confining electrons (or holes) to a thin semiconductor layer leads to a dramatic change in their behavior. This principle can be developed by further reducing the dimensionality of the electron's environment from a two-dimensional quantum well to a one-dimensional quantum wire and eventually to a zero-dimensional quantum dot. The dimensionality refers to the number of degrees of freedom of the electron momentum, so the electron is confined across two directions within a quantum wire, rather than just the one in a quantum well. In a quantum dot the electron is confined in all three-dimensions, thus reducing the degrees of freedom to zero. Our scope in this paper is to drive and plot the theoretical formulation of the energy levels, the wave function and the density of states of each quantum well, wire and dot structures.

Keywords

Energy levels and wave function of finite / infinite potential quantum well; wire and dot; density of states of quantum well; wire and dot structures

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