Time-dependent versus time-independent probabilities of transmission and reflection of a quantum particle incident upon a step potential and a square potential well

@inproceedings{Shegelski2016TimedependentVT,
  title={Time-dependent versus time-independent probabilities of transmission and reflection of a quantum particle incident upon a step potential and a square potential well},
  author={Mark Raymond Alphonse Shegelski and Kevin Malmgren and Logan Salayka-Ladouceur},
  year={2016}
}
We investigate the transmission and reflection of a quantum particle incident upon a step potential decrease and a square well. The probabilities of transmission and reflection using the time-independent Schrodinger equation and also the time-dependent Schrodinger equation are in excellent agreement. We explain why the probabilities agree so well. In doing so, we make use of an exact analytical expression for the square well for time-dependent transmission and reflection, which reveals… CONTINUE READING