Date of Award

2020

Degree Name

Mathematics

College

College of Science

Type of Degree

M.A.

Document Type

Thesis

First Advisor

Dr. Que Huong Nguyen, Committee Chairperson

Second Advisor

Dr. Carl Mummert

Third Advisor

Dr. Scott Sarra

Abstract

In this thesis we consider the structure of magnetic ion centers with 3d-electrons in quantum dots under the effects of Coulomb and exchange interaction between the 3d-electrons of the impurity centers and the confined electrons (or holes) existing inside the nanocrystals. In particular, we are interested how this interaction changes the photoluminescence properties of those materials. We will make use of representation theory and the symmetry of the crystal structure to find the orthonormal wave functions that make up the wave functions of the outer, 3d-electrons inside our dot. The Coulomb and exchange interaction between the extra electron and the states of the impurity ions together with the confinement effect are expected to mix the wave functions, split the impurity energy levels, break the previous selection rules, and change the transition probabilities.

Subject(s)

Nanostructures -- Research.

Nanoscience -- Data processing.

Nanocrystals.

Nanostructured materials.

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