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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
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.