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Piece-Wise Constant Potential Barriers Tool
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 1.1
Published on 21 Aug 2008, unpublished on 14 Oct 2008 All versions
doi:10.4231/D3CF9J617 cite this
This tool is closed source.
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Abstract
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:
- Quantum-Mechanical Reflections
- Quantum-Mechanical Reflections in Nanodevices
- Double-Barrier Structure
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:
- From one well, to two wells, to five wells, to periodic potentials
- Bands as a function of the geometry of the n-well potential
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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NSF
References
Dragica Vasileska lecture notes on Quantum mechanics http://www.eas.asu.edu/~vasilesk
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