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Piece-Wise Constant Potential Barriers Tool

By Dragica Vasileska1, Gerhard Klimeck2, Xufeng Wang2

1. Arizona State University 2. Purdue University

Transmission and the reflection coefficient of a five, seven, nine, eleven and 2n-segment piece-wise constant potential energy profile

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Archive Version 1.0
Published on 08 Aug 2008, unpublished on 21 Aug 2008
Latest version: 1.2.8. All versions

doi:10.4231/D36W9682D cite this

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Detailed description of the physics that needs to be understood to correctly use this tool and interpret the results obtained, is provided in the reading materials listed below:

Exercises that illustrate the importance of quantum-mechanical reflections in state of the art devices and the resonance width dependence upon the geometry in the double-barrier structure that is integral part of resonant tunneling diodes are given below:

The formation of bands in periodic potentials and how the width and the number of the energy bands varies by varying the geometry of the n-well potential is illustrated via the following homework assignments:

One can also use this tool to calculate the transmission coefficient through barriers that are approximated with piece-wise constant segments.

One can also use this tool to test the validity of first-order and second order stationary perturbation theory.

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Dragica Vasileska lecture notes on Quantum mechanics

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Tags, a resource for nanoscience and nanotechnology, is supported by the National Science Foundation and other funding agencies. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.