In 2010, R. Olsen and G. Vignale, published a paper presenting a recursive method for
calculating electron transmission probability for one dimensional periodic potentials. Based
on their method, this thesis studies electron transmission in a one dimensional lattice of
periodic potential barriers both using a classical and quantum mechanical description. The
transmission is measured by the transmission probability of the system. The transmission
probabilities are computed with regards to two separate variables, namely the number
of potential barriers, i.e. the length of the lattice, and the wave number of the incident
electron. These computations are made using rectangular and Dirac delta potential barriers
respectively. Lastly, the paper expands on the area of disordered systems of periodic
potentials by introducing irregularities in potential size and separation.
2011. , 27 p.