Faculty Advisor

Ram-Mohan, L.R.

Faculty Advisor

Wills, Craig E

Abstract

The boundary conditions (BCs) in quantum mechanical scattering are examined in finite nanoscale systems. It was previously shown that scattering BCs can be used with the principle of stationary action to solve for the scattered wave in 1D and 2D. However, the mixed boundary conditions that are required quickly become complicated in finite domains and even more so in open domains. Padding the region of interest with an absorbing region, or "Stealth Region", which attenuates the wave while guaranteeing no reflection ensures that the mixed BCs are converted to simpler Dirichlet BCs. Additionally, the parallel codes were tested for scalability. The scalability of the matrix solver was poor, but the scalability of the rest of the codes was very good and overall scalability was reasonable.

Publisher

Worcester Polytechnic Institute

Date Accepted

April 2012

Major

Computer Science

Major

Physics

Project Type

Major Qualifying Project

Accessibility

Unrestricted

Advisor Department

Physics

Advisor Department

Computer Science

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