Electrical and Computer Engineering ETDs

Publication Date

3-21-1966

Abstract

One of the most useful approaches for gaining understanding of atomic structure is that of experiments involving electron scattering from atoms. In particular, knowledgle of differential and total elastic scattering cross sections enables one to calculate momentum transfer cross sections, mean free path, and the width of multiple scattering distributions. From the point of view of a theorist, the central question is that of the interaction potential. A representation of this latter quantity will give rise, mathematically, to a two point boundary value problem involving the Schrödinger equation. Upon solving the Schrodinger equation, and satisfying the appropriate boundary con­ditions, the solutions will contain quantities called phase shifts, which are intimately connected with the given representation of the interaction potential. Knowledge of the phase shifts enables one to calculate the differential scattering cross section and all of the other quantities referred to above. Further, knowledge of the potential enables one to calculate such widely diverse quantities as X-ray form factors, and atomic susceptibilities.

Document Type

Dissertation

Language

English

Degree Name

Electrical Engineering

Level of Degree

Doctoral

Department Name

Electrical and Computer Engineering

First Committee Member (Chair)

William Jackson Byatt

Second Committee Member

Wayne Willis Grannemann

Third Committee Member

Harold Dean Southward

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