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Transmission Properties of an Electron in One Dimensional Crystals with Periodic Potentials
KTH, School of Engineering Sciences (SCI), Theoretical Physics.
KTH, School of Engineering Sciences (SCI), Theoretical Physics.
2011 (English)Independent thesis Basic level (degree of Bachelor), 10 credits / 15 HE creditsStudent thesis
Abstract [en]

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.

Place, publisher, year, edition, pages
2011. , 27 p.
National Category
Engineering and Technology
URN: urn:nbn:se:kth:diva-103463OAI: diva2:560211
Available from: 2012-10-12 Created: 2012-10-12 Last updated: 2012-10-12Bibliographically approved

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