A system of two two-dimensional quantum dots is one of the simplest system used to study wavefunction localization. In general, the system is approximated by two nite quantum wells in the vicinity of each other. The wavefunction of such a system is hard to solve analytically; thus, a more precise numerical method is always in demand to give a better description of the system. This report discusses the nite element method (FEM), which is originally developed for mechanical engineering but extended to physics. This report also discusses using Fermi function to approximate discontinuous physical properties of the system. The validity of these methods is demonstrated with numerical data calculated under various approximations.

• This report represents the work of one or more WPI undergraduate students submitted to the faculty as evidence of completion of a degree requirement. WPI routinely publishes these reports on its website without editorial or peer review.

Creator

• Wang, Yuchen

Publisher

• Worcester Polytechnic Institute

Identifier

• E-project-010917-152956

Advisor

• Aravind, Padmanabhan K.
• Ram-Mohan, L. Ramdas

Year

• 2017

Date created

• 2017-01-09

Resource type

• Major Qualifying Project

Major

• Physics

Rights statement

• In Copyright