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Electron Propagation in Periodic Potentials
KTH, School of Engineering Sciences (SCI), Theoretical Physics.
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 thesisAlternative title
Electron Propagation in Periodic Potentials (English)
Abstract [en]

In this bachelor thesis we study the propagation of electrons in crystals. The crystalline

structure is modeled as a one dimensional periodic potential primarily composed of delta

function potential barriers.

We use two different models to describe how a particle behaves in such a periodic

structure. The first model is the Kronig Penney model described by S. Gasiorowicz in

[

1]. The second model is described by Olsen and Vignale in the article "The Quantum

mechanics of electric conduction in crystals" [

3]. We show that there exists certain ranges

of energy for which electron propagation can occur, namely the allowed energy bands separeted

by regions of forbidden energies. In addition, we solve the Schrödinger equation

numerically for some simple cases and reproduce some of the results seen from the two

mentioned models.

Place, publisher, year, edition, pages
2011. , 30 p.
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:kth:diva-103467OAI: oai:DiVA.org:kth-103467DiVA: diva2:560224
Uppsok
Technology
Available from: 2012-10-12 Created: 2012-10-12 Last updated: 2012-10-12Bibliographically approved

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  • apa
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