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Abstract

The objective of this project was to model particle beams in a number of 1-D potential systems and to create generalized Mathematica programs that can later be added on to continue further research into more complicated systems involving electric fields across nanowires. The project was mainly used to investigate how the transmission coefficients (i.e., percentage transmission) of these beams dynamically varied with changing parameters and to visualize in real time how exactly resonance peaks and band structures arose and changed as certain parameters (such as number and height of barriers) changed values.

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