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Filtering by: 2018-01-01 Subject Applied Mathematics

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Eigenfunctions and Eigenoperators of Cyclic Integral Transforms with Application to Gaussian Beam Propagation

Description:

An integral transform which reproduces a transformable input function after a finite number $N$ of successive applications is known as a {\it cyclic} transform. Of course, such a transform will reproduce an arbitrary transformable input after $N$ applications, but it also admits eigenfunction inputs which will be reproduced after a...

Keyword:

Physics

Subject:

Applied Mathematics

Creator:

Matthew McCallum

Owner:

Scholarly Digital Publishing

Date Uploaded:

10/02/2018

Date Modified:

10/02/2018

Date Created:

2008-12-08

Resource Type:

Dissertation
Mathematical Modeling of the Formation of Surface Nanostructures in Thin Solid Films

Description:

The self-assembly of quantum dots (QDs) in thin solid films is an important area of nanotechnology with many relevant applications. In the present thesis, three problems related to the growth and self-assembly of QDs are investigated. In Chapter 1, a new instability mechanism for the formation of QDs associated with...

Keyword:

Materials Science and Engineering

Subject:

Applied Mathematics

Creator:

Margo S Levine

Owner:

Scholarly Digital Publishing

Date Uploaded:

08/07/2018

Date Modified:

08/07/2018

Date Created:

07-10-2007

Resource Type:

Dissertation