Author

Busche

Date of Award

8-1994

Degree Name

Master of Arts

Department

Physics

First Advisor

Dr. Dean Halderson

Second Advisor

Dr. Alvin Rosenthal

Third Advisor

Dr. Paul Pancella

Access Setting

Masters Thesis-Open Access

Abstract

In this work a numerical procedure was found to calculate the G-matrix in momentum space with a momentum space potential. The integral equation for the G-matrix was solved by conversion to a matrix equation. Two numerical integral methods, three-point Simpson method and Gaussian integral method, were employed in this process to determine the more efficient method.

The resulting G-matrix in momentum space was Fourier transformed into coordinate space. This was compared with the results of the G-matrix calculated from coordinate space directly as well as the results from solving the Bethe-Goldstone equation. A 2% accuracy was achieved with both the three-point Simpson and Gaussian methods, but the Gaussian method proved to be three times more efficient.

Included in

Physics Commons

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